This volume describes the spectral theory of the Weyl quantization of systems of polynomials in phase-space variables, modelled after the harmonic oscillator. The main technique used is pseudodifferential calculus, including global and semiclassical variants. The main results concern the meromorphic continuation of the spectral zeta function associated with the spectrum, and the localization (and the multiplicity) of the eigenvalues of such systems, described in terms of “classical” invariants (such as the periods of the periodic trajectories of the bicharacteristic flow associated with the eiganvalues of the symbol). The book utilizes techniques that are very powerful and flexible and presents an approach that could also be used for a variety of other problems. It also features expositions on different results throughout the literature.
This book grew out of a series of lectures given at the Mathematics Department of Kyushu University in the Fall 2006, within the support of the 21st Century COE Program (2003–2007) “Development of Dynamical Mathematics with High Fu- tionality” (Program Leader: prof. Mitsuhiro Nakao). It was initially published as the Kyushu University COE Lecture Note n- ber 8 (COE Lecture Note, 8. Kyushu University, The 21st Century COE Program “DMHF”, Fukuoka, 2008. vi+234 pp.), and in the present form is an extended v- sion of it (in particular, I have added a section dedicated to the Maslov index). The book is intended as a rapid (though not so straightforward) pseudodiff- ential introduction to the spectral theory of certain systems, mainly of the form a +a where the entries of a are homogeneous polynomials of degree 2 in the 2 0 2 n n (x,?)-variables, (x,?)? R×R,and a is a constant matrix, the so-called non- 0 commutative harmonic oscillators, with particular emphasis on a class of systems introduced by M. Wakayama and myself about ten years ago. The class of n- commutative harmonic oscillators is very rich, and many problems are still open, and worth of being pursued.
Since 1984, the year of the publication of its first edition, the famous “Blue Guide” has been the international reference for paediatricians and neuropaediatricians with regard to epileptic syndromes in infants, children and adolescents. This 6th edition reviews some of the most noteworthy developments in the field, particularly in epileptic syndromes, but also focuses on the genetic aspects of the syndromes and their development. Progress brought about by advances in neuroimaging is also discussed in addition to specific etiologies such as parasitic diseases and immune and autoimmune diseases. The different backgrounds of the contributors - coordinators and authors – ensure that the book’s longstanding reputation for objectivity and seriousness, built over almost 35 years, remain well-deserved. This book written by the current leading specialists is recognized worldwide as the international reference in epilepsy.
Alberto P. Calderón (1920-1998) was one of this century's leading mathematical analysts. His contributions, characterized by great originality and depth, have changed the way researchers approach and think about everything from harmonic analysis to partial differential equations and from signal processing to tomography. In addition, he helped define the "Chicago school" of analysis, which remains influential to this day. In 1996, more than 300 mathematicians from around the world gathered in Chicago for a conference on harmonic analysis and partial differential equations held in Calderón's honor. This volume originated in papers given there and presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest scholars working in these areas. An important addition to the literature, this book is essential reading for researchers in these and other related fields.
The bibliography includes material published from 2013 to 2015. Following on from the first bibliography (Brill, 1988) and its updates (Brill 2006, 2008, 2011, 2014) this volume covers recent literature on: Archaeology, Liturgy, Monasticism, Iberian-Gallic Patristics, Paleography, Linguistics, Germanic and Muslim Invasions, and more. In addition, peoples such as the Vandals, Sueves, Basques, Alans and Byzantines are included. The book contains author and subject indexes and is extensively cross-indexed for easy consultation. A periodicals index of hundreds of journals accompanies the volume.
This book reviews Dante Bini’s inventions and designs, focusing on his form-resistant Binishell and other pneumatic construction systems. Dante Bini’s double profile of architect and builder underpins the narrative of the entire book. It is used to analyse the evolution of the early reinforced-concrete Binishell patent into a variety of automated construction systems based on the use of air. Dante Bini has always been quite proactive in promoting his work and disseminating the results of his experimentations and achievements via journal articles, conference presentations and public talks; promotional brochures in multiple languages were also prepared to export and license his patents in various countries, from Italy to the Americas and Australia. Despite this, a rigorous study of Dante Bini’s work is still unavailable, and the relevance of this figure to contemporary architecture has yet to be discussed comprehensively. This book fills in this gap and arrives at the right time: during the last two decades, there has been an exponential interest in shell and spatial structures, particularly concerning the use of complex geometries and innovative construction techniques. This book will be of interest to academics in architectural design, theory and construction history, and practitioners and students interested in expanding their knowledge in the design and construction of shell and spatial structures.
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