Tatsuo Kimura's Books

Introduction to Prehomogeneous Vector Spaces

By: Tatsuo Kimura

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Introduction to Prehomogeneous Vector Spaces

By: Tatsuo Kimura

This is the first introductory book on the theory of prehomogeneous vector spaces, introduced in the 1970s by Mikio Sato. The author was an early and important developer of the theory and continues to be active in the field. The subject combines elements of several areas of mathematics, such as algebraic geometry, Lie groups, analysis, number theory, and invariant theory. An important objective is to create applications to number theory. For example, one of the key topics is that of zeta functions attached to prehomogeneous vector spaces; these are generalizations of the Riemann zeta function, a cornerstone of analytic number theory. Prehomogeneous vector spaces are also of use in representation theory, algebraic geometry and invariant theory. This book explains the basic concepts of prehomogeneous vector spaces, the fundamental theorem, the zeta functions associated with prehomogeneous vector spaces and a classification theory of irreducible prehomogeneous vector spaces. It strives, and to a large extent succeeds, in making this content, which is by its nature fairly technical, self-contained and accessible. The first section of the book, "Overview of the theory and contents of this book," Is particularly noteworthy as an excellent introduction to the subject.

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Page Count

318

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821827677

ISBN 13

9780821827673

Foundations of Algebraic Analysis (PMS-37), Volume 37

By: Masaki Kashiwara,Takahiro Kawai,Tatsuo Kimura

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Foundations of Algebraic Analysis (PMS-37), Volume 37

By: Masaki Kashiwara,Takahiro Kawai,Tatsuo Kimura

The use of algebraic methods for studying analysts is an important theme in modern mathematics. The most significant development in this field is microlocal analysis, that is, the local study of differential equations on cotangent bundles. This treatise provides a thorough description of microlocal analysis starting from its foundations. The book begins with the definition of a hyperfunction. It then carefully develops the microfunction theory and its applications to differential equations and theoretical physics. It also provides a description of microdifferential equations, the microlocalization of linear differential equations. Finally, the authors present the structure theorems for systems of microdifferential equations, where the quantized contact transformations are used as a fundamental device. The microfunction theory, together with the quantized contact transformation theory, constitutes a valuable new viewpoint in linear partial differential equations. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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268

Publisher

Princeton University Press

Published Date

ISBN 10

1400886090

ISBN 13

9781400886098

The Vascular Pole of the Renal Glomerulus of Rat

By: Marlies Elger,Tatsuo Sakai,Wilhelm Kriz

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The Vascular Pole of the Renal Glomerulus of Rat

By: Marlies Elger,Tatsuo Sakai,Wilhelm Kriz

Glomerular flltration represents one of the basic mechanisms in the function of an organism. Our understanding of this process is still quite fragmentary. Regulation of blood flow and pressure, together with regulation of the ultraflltration coefficient (which is an attribute of the flltration barrier), are the two fundamental mechanisms accounting for maintenance and adaptability of glomerular flltration. Regulation of glomerular blood flow is generally considered to result from an interplay between afferent and efferent glomerular arterioles, and much progress has been made recently in understanding this interplay (Navar et al. 1996). The present study provides a detailed structural description of the glomerular vascular pole of rat. The results of this study appear to be relevant for several open questions of glomerular function. First, the interaction between afferent and efferent arterioles in regulating glomerular blood is generally understood to occur between the preglomerular and the postglomerular portions of these vessels. As shown in the present study, the structural elaborations of these arterioles and the spatial relationships between them within the glomerular hilum strongly suggest an interplay also at this site. Moreover, the current understanding of glomerular blood flow regulation by tuning the interplay between afferent and efferent arterioles is exclusively based on signals whose regulatory loops are established in follow-up events outside the glomerulus (tubuloglomerular balance, tubuloglomerular feedback).

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Page Count

137

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642804497

ISBN 13

9783642804496

An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists

By: Tatsuo Kobayashi,Hiroshi Ohki,Hiroshi Okada,Yusuke Shimizu,Morimitsu Tanimoto

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An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists

By: Tatsuo Kobayashi,Hiroshi Ohki,Hiroshi Okada,Yusuke Shimizu,Morimitsu Tanimoto

This lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics—particularly model building beyond the standard model—non-Abelian discrete symmetries have been applied particularly to understand the three-generation flavor structure. The non-Abelian discrete symmetries are indeed considered to be the most attractive choice for a flavor sector: Model builders have tried to derive experimental values of quark and lepton masses, mixing angles and CP phases on the assumption of non-Abelian discrete flavor symmetries of quarks and leptons, yet lepton mixing has already been intensively discussed in this context as well. Possible origins of the non-Abelian discrete symmetry for flavors are another topic of interest, as they can arise from an underlying theory, e.g., the string theory or compactification via orbifolding as geometrical symmetries such as modular symmetries, thereby providing a possible bridge between the underlying theory and corresponding low-energy sector of particle physics. The book offers explicit introduction to the group theoretical aspects of many concrete groups, and readers learn how to derive conjugacy classes, characters, representations, tensor products, and automorphisms for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest. Further, CP symmetry and modular symmetry are also presented.

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Page Count

353

Publisher

Springer Nature

Published Date

ISBN 10

366264679X

ISBN 13

9783662646793

Iodine Chemistry and Applications

By: Tatsuo Kaiho

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Iodine Chemistry and Applications

By: Tatsuo Kaiho

This book comprehensively covers iodine, its chemistry, and its role in functional materials, reagents, and compounds. • Provides an up-to-date, detailed overview of iodine chemistry with discussion on elemental aspects: characteristics, properties, iodides, and halogen bonding • Acts as a useful guide for readers to learn how to synthesize complex compounds using iodine reagents or intermediates • Describes traditional and modern processing techniques, such as starch, cupper, blowing out, and ion exchange resin methods • Includes seven detailed sections devoted to the applications of iodine: Characteristics, Production, Synthesis, Biological Applications, Industrial Applications, Bioorganic Chemistry and Environmental Chemistry, and Radioisotopes • Features hot topics in the field, such as hypervalent iodine-mediated cross coupling reactions, agrochemicals, dye sensitized solar cells, and therapeutic agents

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Page Count

668

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118878655

ISBN 13

9781118878651

Human Friendly Mechatronics

By: Masaharu Takano,Eiji Arai,Tatsuo Arai

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Human Friendly Mechatronics

By: Masaharu Takano,Eiji Arai,Tatsuo Arai

The book includes 61 selected papers from 106 presented at the second International Conference on Machine Automation (ICMA2000). The conference focused, for the first time, on human friendly mechantronics which covers machine systems interacting with human beings, psychological, physiological, and physical behaviors of the human being itself, robotics, human-mimetic mechanical systems, commercial application examples and so on. Machine automation has owed a lot to mechatronics technology in the last decades, however, a paradigm shift is desired and emphasized in the 21st century in every aspect of our society, and mechantronics is not an exception. The paradigm shift in mechatronics is a pursuit of productivity and efficiency to the preference of humans, and it is time that a new concept of a human friendly robot must be proposed that is welcome by human users. The book aims to offer the most up-to-date and valuable information on: •Human Interface & Communication •Human Support Technology •Actuator & Control •Vision & Sensing •Robotics and Design •Manufacturing System We believe this book will bring advanced knowledge and valuable information to the industries as well as to academics and will contribute to the further development in mechatronics and its related fields.

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Page Count

419

Publisher

Elsevier

Published Date

ISBN 10

0080534198

ISBN 13

9780080534190

Biomedical Sensors and Instruments

By: Tatsuo Tagawa,Toshiyo Tamura,P. Ake Oberg

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Biomedical Sensors and Instruments

By: Tatsuo Tagawa,Toshiyo Tamura,P. Ake Oberg

The living body is a difficult object to measure: accurate measurements of physiological signals require sensors and instruments capable of high specificity and selectivity that do not interfere with the systems under study. As a result, detailed knowledge of sensor and instrument properties is required to be able to select the "best" sensor from o

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Page Count

423

Publisher

CRC Press

Published Date

ISBN 10

1420090798

ISBN 13

9781420090796

Structure-based Study of Viral Replication

With CD-ROM

By: R. Holland Cheng,Tatsuo Miyamura

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Structure-based Study of Viral Replication

With CD-ROM

By: R. Holland Cheng,Tatsuo Miyamura

This book addresses the innovative themes in characterizing the cellular membrane platforms and intracellular networking, as well as the architectural aspects of cell compartments mediated by the entry and replication cycles of viruses. The instrumentation of modern molecular and cellular biology provides a potent array of wave packets to image, detect and manipulate major dynamics of macromolecular and subviral assemblies as in the host cellular context.The book includes case studies presented with highly coherent and structured illuminations, including microscopy, spectroscopy and scanning probes. The compilation and integration of the methodology provides time-resolved observations on the reactivity of structures from near-atomic resolution to various molecular or cellular levels of descriptors. The book provides a broad introduction to the various fascinating virus systems and may be used as an advanced textbook by graduate students in biomedicine. It provides adequate background material to explore further the research problems of epidemics in the 21st century.

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Page Count

663

Publisher

World Scientific

Published Date

ISBN 10

9812704051

ISBN 13

9789812704054

Biomedical TRANSDUCERS and INSTRUMENTS

By: Tatsuo Togawa,Toshiyo Tamura,P. Ake Oberg

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Biomedical TRANSDUCERS and INSTRUMENTS

By: Tatsuo Togawa,Toshiyo Tamura,P. Ake Oberg

Biomedical transducers are essential instruments for acquiring many types of medical and biological data. From the underlying principles to practical applications, this new book provides an easy- to-understand introduction to the various kinds of biomedical transducers. The first comprehensive treatment of this subject in 20 years, the book presents state-of-the-art information including: discussions of biomedical transducers for measurements of pressure, flow, motion, temperature, heat flow, evaporation, biopotential, biomagnetism, and chemical quantities. Chapters are devoted to particular areas of instrumentation needs

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Page Count

384

Publisher

CRC Press

Published Date

ISBN 10

0849376718

ISBN 13

9780849376719

An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists

By: Hajime Ishimori,Tatsuo Kobayashi,Hiroshi Ohki,Hiroshi Okada,Yusuke Shimizu,Morimitsu Tanimoto

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An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists

By: Hajime Ishimori,Tatsuo Kobayashi,Hiroshi Ohki,Hiroshi Okada,Yusuke Shimizu,Morimitsu Tanimoto

These lecture notes provide a tutorial review of non-Abelian discrete groups and show some applications to issues in physics where discrete symmetries constitute an important principle for model building in particle physics. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics - in particular model building beyond the standard model - non-Abelian discrete symmetries have been applied to understand the three-generation flavor structure in particular. Indeed, non-Abelian discrete symmetries are considered to be the most attractive choice for the flavor sector: model builders have tried to derive experimental values of quark and lepton masses, and mixing angles by assuming non-Abelian discrete flavor symmetries of quarks and leptons, yet, lepton mixing has already been intensively discussed in this context, as well. The possible origins of the non-Abelian discrete symmetry for flavors is another topic of interest, as they can arise from an underlying theory - e.g. the string theory or compactification via orbifolding – thereby providing a possible bridge between the underlying theory and the corresponding low-energy sector of particle physics. This text explicitly introduces and studies the group-theoretical aspects of many concrete groups and shows how to derive conjugacy classes, characters, representations, and tensor products for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest.

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Page Count

288

Publisher

Springer

Published Date

ISBN 10

3642308058

ISBN 13

9783642308055

Introduction to Prehomogeneous Vector Spaces

By: Tatsuo Kimura

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Introduction to Prehomogeneous Vector Spaces

By: Tatsuo Kimura

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Page Count

318

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821827677

ISBN 13

9780821827673

Foundations of Algebraic Analysis

By: Masaki Kashiwara,Takahiro Kawai,Tatsuo Kimura

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Foundations of Algebraic Analysis

By: Masaki Kashiwara,Takahiro Kawai,Tatsuo Kimura

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Page Count

254

Published Date

ISBN 10

0691084130

ISBN 13

9780691084138

Book's by Tatsuo Kimura

Introduction to Prehomogeneous Vector Spaces

Introduction to Prehomogeneous Vector Spaces

Foundations of Algebraic Analysis (PMS-37), Volume 37

Foundations of Algebraic Analysis (PMS-37), Volume 37

The Vascular Pole of the Renal Glomerulus of Rat

The Vascular Pole of the Renal Glomerulus of Rat

An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists

An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists

Iodine Chemistry and Applications

Iodine Chemistry and Applications

Human Friendly Mechatronics

Human Friendly Mechatronics

Biomedical Sensors and Instruments

Biomedical Sensors and Instruments

Structure-based Study of Viral Replication

Structure-based Study of Viral Replication

Biomedical TRANSDUCERS and INSTRUMENTS

Biomedical TRANSDUCERS and INSTRUMENTS

An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists

An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists

Introduction to Prehomogeneous Vector Spaces

Introduction to Prehomogeneous Vector Spaces

Foundations of Algebraic Analysis

Foundations of Algebraic Analysis

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