* The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems * All the necessary classical material is initially presented * Geared toward graduate students and researchers in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics
This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense) with some specific reproducing kernels, in the unit ball of quaternions or in the half space of quaternions with positive real parts. The spaces under consideration will be Hilbert or Pontryagin or Krein spaces. These spaces are closely related to operator models that are also discussed. The focus of this book is the notion of characteristic operator function of a bounded linear operator A with finite real part, and we address several questions like the study of J-contractive functions, where J is self-adjoint and unitary, and we also treat the inverse problem, namely to characterize which J-contractive functions are characteristic operator functions of an operator. In particular, we prove the counterpart of Potapov's factorization theorem in this framework. Besides other topics, we consider canonical differential equations in the setting of slice hyperholomorphic functions and we define the lossless inverse scattering problem. We also consider the inverse scattering problem associated with canonical differential equations. These equations provide a convenient unifying framework to discuss a number of questions pertaining, for example, to inverse scattering, non-linear partial differential equations and are studied in the last section of this book.
This book presents English translations of Michele Sce’s most important works, originally written in Italian during the period 1955-1973, on hypercomplex analysis and algebras of hypercomplex numbers. Despite their importance, these works are not very well known in the mathematics community because of the language they were published in. Possibly the most remarkable instance is the so-called Fueter-Sce mapping theorem, which is a cornerstone of modern hypercomplex analysis, and is not yet understood in its full generality. This volume is dedicated to revealing and describing the framework Sce worked in, at an exciting time when the various generalizations of complex analysis in one variable were still in their infancy. In addition to faithfully translating Sce’s papers, the authors discuss their significance and explain their connections to contemporary research in hypercomplex analysis. They also discuss many concrete examples that can serve as a basis for further research. The vast majority of the results presented here will be new to readers, allowing them to finally access the original sources with the benefit of comments from fellow mathematicians active in the field of hypercomplex analysis. As such, the book offers not only an important chapter in the history of hypercomplex analysis, but also a roadmap for further exciting research in the field.
This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define new classes of fractional diffusion and evolution problems. These innovative methods and techniques, based on the concept of S-spectrum, can inspire researchers from various areas of operator theory and PDEs to explore new research directions in their fields. This monograph is the natural continuation of the book: Spectral Theory on the S-Spectrum for Quaternionic Operators by Fabrizio Colombo, Jonathan Gantner, and David P. Kimsey (Operator Theory: Advances and Applications, Vol. 270).
This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.
This book contains the papers presented at the conference on OC Mathematical Models and Methods for Smart MaterialsOCO, held in Italy in 2001. The papers are divided into four parts: OCOMethods in Materials ScienceOCO deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems.OCOModelling of Smart MaterialsOCO is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties.OCOWell-Posedness in Materials with MemoryOCO deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations.OCOAnalytic Problems in Phase TransitionsOCO discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition.
This book sets out to explain the foreign policy of Italian Prime Minister Matteo Renzi (February 2014 to December 2016). It offers a unique analytical framework to make sense of Renzi’s foreign policy: the domestically-focused outsider. It argues that to untangle Renzi’s foreign policy one must first understand that his clear priority was enacting domestic economic and political reforms. Domestic focus means that Renzi made foreign policy decisions with a sensitivity to public opinion and party unity. The book also argues that Renzi’s status as an outsider in Italian politics—having previously served only as the mayor of Florence—provides critical insight into his foreign policy. Renzi was prone to skepticism of the establishment and dramatic, symbolic gestures rather than patient coalition building. The book applies this framework to the five most important foreign policy issues Renzi’s government faced: migration, finance and the EU, Russia, ISIL, and Libya. The book’s analysis of the cases benefits from over twenty elite interviews, including those with senior members of Renzi’s government.
Selective Oxidation by Heterogeneous Catalysis covers one of the major areas of industrial petrochemical production, outlining open questions and new opportunities. It gives keys for the interpretation and analysis of data and design of new catalysts and reactions, and provides guidelines for future research. A distinctive feature of this book is the use of concept by example. Rather than reporting an overview of the literature results, the authors have selected some representative examples, the in-depth analysis of which makes it possible to clarify the fundamental, but new concepts necessary for a better understanding of the new opportunities in this field and the design of new catalysts or catalytic reactions. Attention is given not only to the catalyst itself, but also to the use of the catalyst inside the process, thus evidencing the relationship between catalyst design and engineering aspects of the process. This book provides suggestions for new innovative directions of research and indications on how to reconsider the field of selective oxidation from different perspectives, outlining that is not a mature field of research, but that new important breakthroughs can be derived from fundamental and applied research. Suggestions are offered on how to use less conventional approaches in terms of both catalyst design and analysis of the data.
European armed forces have undergone deep changes in the past two decades. Given the breadth of the debate and the size of transformations that took place, it is somewhat surprising that relatively few academic studies have directly dealt with changes in force structure of European militaries, and the Italian armed forces in particular. The focus of this book is the organizational dimension of the restructuring of armed forces through 3 different lenses: doctrine and strategic framework, budget and resource allocation, and force structure and deployment. The key issues addressed relate to how these factors interact in shaping transformation. Of particular interest is the theme of learning, which is how armed forces endogenize change in the short and long run. This study provides valuable insights into the extent to which armed forces manage to adapt to the emerging strategic and operational challenges they have to face and to illustrate the weight of institutional legacies, resource constraints and inter-organizational learning in shaping transformation. Focusing on the Italian case in comparative perspective and based on a large variety of military operations from airstrikes to peacekeeping and counterinsurgency, the book provides an innovative viewpoint on military transformation and significantly contributes to our understanding of contemporary security that is deeply shaped by the lessons learnt in Afghanistan, Lebanon, Iraq and Libya.
Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics. The volume is a coherent exposition of an active field of current research focusing on the introduction of new methods for the study of moduli spaces of complex structures on algebraic surfaces, and for the investigation of symplectic topology in dimension 4 and higher.
We live in a world in which almost all states purport to be republican. Very few adhere to the Ciceronian concept of res publica, understood as “that which belongs to the popolo (respublica respopuli) [...] and which has the observance of the law and the commonality of interests as its foundation”. The concept of republicanism is traditionally connected to the principle that true political freedom consists of not being subject to the arbitrary will of any man or group of men, and it requires equality of civil and political rights. Republicanism has attracted scholars who aim to develop insights from the classical republican tradition into an attractive political doctrine suitable for modern pluralistic societies. The volume examines republicanism from an historical and theoretical perspective after many years of scholarly investigation and debate.
Sardinia, one of the great prizes of the Mediterranean, was fought over by the Phoenicians, Romans, Arabs, Spanish and Austrians before ending up as part of the unified Italy. It bears traces of all these cultures - plus thousands of prehistoric stone dwellings called nuraghi. These days it is equally popular with the jet set and with rock climbers, sailors, and wind-surfers. With so much going on, you need a detailed guide, and the Eyewitness Travel Guide provides everything you could wish for, from hotel and restaurant recommendations to detailed maps and tips on the best local cheeses. You'll find cutaways and floor-plans of all the major sights, walks, scenic routes and thematic tours. Whether you wish to explore the beautiful old quarter at Alghero or soak-up some sun on the fashionable beaches of Costa Smeralda, this updated and expanded edition is indispensable. Don't miss a thing on your vacation with the DK Eyewitness Travel guidebook to Sardinia.
Statutory interpretation involves the reconstruction of the meaning of a legal statement when it cannot be considered as accepted or granted. This phenomenon needs to be considered not only from the legal and linguistic perspective, but also from the argumentative one - which focuses on the strategies for defending a controversial or doubtful viewpoint. This book draws upon linguistics, legal theory, computing, and dialectics to present an argumentation-based approach to statutory interpretation. By translating and summarizing the existing legal interpretative canons into eleven patterns of natural arguments - called argumentation schemes - the authors offer a system of argumentation strategies for developing, defending, assessing, and attacking an interpretation. Illustrated through major cases from both common and civil law, this methodology is summarized in diagrams and maps for application to computer sciences. These visuals help make the structures, strategies, and vulnerabilities of legal reasoning accessible to both legal professionals and laypeople.
This open access book addresses the issue of diffusing sustainable energy access in low- and middle-income contexts. Access to energy is one of the greatest challenges for many people living in low- income and developing contexts, as around 1.4 billion people lack access to electricity. Distributed Renewable Energy systems (DRE) are considered a promising approach to address this challenge and provide energy access to all. However, even if promising, the implementation of DRE systems is not always straightforward. The book analyses, discusses and classifies the promising Sustainable Product-Service System (S.PSS) business models to deliver Distributed Renewable Energy systems in an effective, efficient and sustainable way. Its message is supported with cases studies and examples, discussing the economic, environmental and socioethical benefits as well as its limitations and barriers to its implementation. An innovative design approach is proposed and a set of design tools are supplied, enabling readers to create and develop Sustainable Product-Service System (S.PSS) solutions to deliver Distributed Renewable Energy systems. Practical applications of the book’s design approach and tools by companies and practitioners are discussed and the book will be of interest to readers in design, industry, governmental institutions, NGOs as well as researchers.
This book represents the first comprehensive investigation of the role of emotional intelligence in promoting innovation in the organizational context. Offering emerging insights into the human side of innovation. This book highlights how it has become strategically important for firm innovativeness to identify and evaluate those behavioral competencies that enable entrepreneurs and professionals to generate different types of innovation (product, process, marketing, organizational and strategic innovation). It illustrates a classification of behavioral competencies for innovation and provides empirical evidence collected through the application of the competency-based methodology to a sample of entrepreneurs and new product development teams. This book provides practical policy and managerial implications on how to develop and evaluate behavioral competencies in the higher education and organizational settings in order to foster individual innovation capacity.
In this book, physics in its many aspects (thermodynamics, mechanics, electricity, fluid dynamics) is the guiding light on a fascinating journey through biological systems, providing ideas, examples and stimulating reflections for undergraduate physics, chemistry and life-science students, as well as for anyone interested in the frontiers between physics and biology. Rather than introducing a lot of new information, it encourages young students to use their recently acquired knowledge to start seeing the physics behind the biology. As an undergraduate textbook in introductory biophysics, it includes the necessary background and tools, including exercises and appendices, to form a progressive course. In this case, the chapters can be used in the order proposed, possibly split between two semesters. The book is also an absorbing read for researchers in the life sciences who wish to refresh or go deeper into the physics concepts gleaned in their early years of scientific training. Less physics-oriented readers might want to skip the first chapter, as well as all the "gray boxes" containing the more formal developments, and create their own á-la-carte menu of chapters.
This monograph presents design methodologies for (robust) fractional control systems. It shows the reader how to take advantage of the superior flexibility of fractional control systems compared with integer-order systems in achieving more challenging control requirements. There is a high degree of current interest in fractional systems and fractional control arising from both academia and industry and readers from both milieux are catered to in the text. Different design approaches having in common a trade-off between robustness and performance of the control system are considered explicitly. The text generalizes methodologies, techniques and theoretical results that have been successfully applied in classical (integer) control to the fractional case. The first part of Advances in Robust Fractional Control is the more industrially oriented. It focuses on the design of fractional controllers for integer processes. In particular, it considers fractional-order proportional-integral-derivative controllers, because integer-order PID regulators are, undoubtedly, the controllers most frequently adopted in industry. The second part of the book deals with a more general approach to fractional control systems, extending techniques (such as H-infinity optimal control and optimal input‒output inversion based control) originally devised for classical integer-order control. Advances in Robust Fractional Control will be a useful reference for the large number of academic researchers in fractional control, for their industrial counterparts and for graduate students who want to learn more about this subject.
Gas Chromatographic Environmental Analysis ist die erste wirklich komplette, aktuelle und einheitliche Darstellung der analytischen Techniken der Umweltchemie in Buchform. Das Buch beschreibt die Grundlagen der Gaschromatographie in der Umweltuntersuchung. Nach einer Einführung in die Gaschromatographie und einer kritischen Bewertung der verschiedenen Säulentypen beschreibt der Autor sorgfältig die notwendige Meßapparatur. Besonderes Augenmerk gilt der Einspritzung sowie den Nachweis- und Kalibrierungssystemen. Ein Akzent liegt auf der Spurenanalytik, die wichtig ist z.B. für die Erkennung von Fluorkohlenwasserstoffen in der Atmosphäre. Daneben werden auch andere Techniken wie HPLC und Massenspektrometrie vorgestellt, um so ein vollständiges Bild der Umweltanalytik von heute und morgen zu geben. Da das Buch für Chemiker und analytische Chemiker sowohl in Forschung als auch Industrie, für Verfahrenstechniker, Umweltbiologen und -geologen geschrieben ist, beschäftigt sich Gas Chromatographic Environmental Analysis besonders mit den Methoden, die in den USA und anderen hochindustrialisierten Staaten eingeführt sind. Damit ist es eine willkommene Bereicherung für die Bibliotheken von chemischen Betrieben, Verwaltungen, Universitäten und Forschungseinrichtungen.
This book traces the development of investigative cinema, whose main characteristic lies in reconstructing actual events, political crises, and conspiracies. These documentary-like films refrain from a simplistic reconstruction of historical events and are mainly concerned with what does not immediately appear on the surface of events. Consequently, they raise questions about the nature of the “truth” promoted by institutions, newspapers, and media reports. By highlighting unanswered questions, they leave us with a lack of clarity, and the questioning of documentation becomes the actual narrative. Investigative cinema is examined in relation to the historical conjunctures of the “economic miracle” in Italy, the simultaneous decolonization and reordering of culture in France, the waves of globalization and neoliberalism in post-dictatorial Latin America, and the post-Watergate, post-9/11 climate in US society. Investigative cinema is exemplified by the films Salvatore Giuliano, The Battle of Algiers, The Parallax View, Gomorrah, Zero Dark Thirty, and Citizenfour.
This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions. Except for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory, hypercomplex analysis, and mathematical physics.
Global Health Governance and Policy outlines the fundamentals of global health, a key element of sustainable development. Taking an interdisciplinary approach, it explores the relationship between the globalization process and global health’s social, political, economic and environmental determinants. It points the attention to the actors and forces that shape global policies and actions with an impact on peoples’ health in an increasingly complex global governance context. Topics discussed include: The relationship between globalization and the determinants of health The essentials of global health measurements The evolution of public health strategies in the context of the global development agenda The actors and influencers of global health governance The role of health systems The dynamics and mechanisms of global health financing and Development Assistance for Health Career opportunities in global health governance, management and policy Looking in depth at some of the more significant links between neoliberal globalization, global policies and health, Global Health Governance and Policy: An Introduction discusses some specific health issues of global relevance such as changes in the ecosystem, epidemics and the spread of infectious diseases, the global transformation of the food system, the tobacco epidemic, human migration, macroeconomic processes and global financial crisis, trade and access to health services, drugs and vaccines, and eHealth and the global "health 4.0" challenge. Written by a team of experienced practitioners, scientists and teachers, this textbook is ideal for students of all levels and professionals in a variety of disciplines with an interest in global health.
Volume 1 covers the most important technological aspects of the use of molecular oxygen for catalytic oxidation reactions.Volume 2 addresses the safety issues associated with the use of oxygen in catalytic oxidation reactions.Contents Vol. 1: 1. Introduction. 2. Chemical-physical properties of molecular oxygen. 3. Oxygen production technologies. 4. Chemical fundamentals of oxidation reactions. 5. Reactor technologies for multiphase systems. 6. Liquid phase oxidations. 7. Gas phase selective oxidations. 8. Selective oxidation of paraffins. References. Index. Vol. 2: 9. Introduction to safety problems in the chemical industry. 10. Chemical aspects of combustion in the gaseous phase. 11. Homogeneous chemical explosions: autoignition or spontaneous ignition. 12. Deflagration or propagation of flame. 13. Conditions governing flame propagation capability. 14. Detonation in the gaseous phase. 15. Prevention of and protection against explosions. References. Index.
This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define new classes of fractional diffusion and evolution problems. These innovative methods and techniques, based on the concept of S-spectrum, can inspire researchers from various areas of operator theory and PDEs to explore new research directions in their fields. This monograph is the natural continuation of the book: Spectral Theory on the S-Spectrum for Quaternionic Operators by Fabrizio Colombo, Jonathan Gantner, and David P. Kimsey (Operator Theory: Advances and Applications, Vol. 270).
This Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the necessary background information and detailed studies on several central topics, including estimates on the minimum modulus of regular functions, relations between Taylor coefficients and the growth of entire functions, density of their zeros, and the universality properties. The proofs presented here shed new light on the nature of the quaternionic setting and provide inspiration for further research directions. Also featuring an exhaustive reference list, the book offers a valuable resource for graduate students, postgraduate students and researchers in various areas of mathematical analysis, in particular hypercomplex analysis and approximation theory.
* The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems * All the necessary classical material is initially presented * Geared toward graduate students and researchers in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics
This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense) with some specific reproducing kernels, in the unit ball of quaternions or in the half space of quaternions with positive real parts. The spaces under consideration will be Hilbert or Pontryagin or Krein spaces. These spaces are closely related to operator models that are also discussed. The focus of this book is the notion of characteristic operator function of a bounded linear operator A with finite real part, and we address several questions like the study of J-contractive functions, where J is self-adjoint and unitary, and we also treat the inverse problem, namely to characterize which J-contractive functions are characteristic operator functions of an operator. In particular, we prove the counterpart of Potapov's factorization theorem in this framework. Besides other topics, we consider canonical differential equations in the setting of slice hyperholomorphic functions and we define the lossless inverse scattering problem. We also consider the inverse scattering problem associated with canonical differential equations. These equations provide a convenient unifying framework to discuss a number of questions pertaining, for example, to inverse scattering, non-linear partial differential equations and are studied in the last section of this book.
In the past 50 years, quantum physicists have discovered, and experimentally demonstrated, a phenomenon which they termed superoscillations. Aharonov and his collaborators showed that superoscillations naturally arise when dealing with weak values, a notion that provides a fundamentally different way to regard measurements in quantum physics. From a mathematical point of view, superoscillating functions are a superposition of small Fourier components with a bounded Fourier spectrum, which result, when appropriately summed, in a shift that can be arbitrarily large, and well outside the spectrum. The purpose of this work is twofold: on one hand the authors provide a self-contained survey of the existing literature, in order to offer a systematic mathematical approach to superoscillations; on the other hand, they obtain some new and unexpected results, by showing that superoscillating sequences can be seen of as solutions to a large class of convolution equations and can therefore be treated within the theory of analytically uniform spaces. In particular, the authors will also discuss the persistence of the superoscillatory behavior when superoscillating sequences are taken as initial values of the Schrödinger equation and other equations.
This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions. Except for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory, hypercomplex analysis, and mathematical physics.
This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.
The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.
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