Introduction to the Theory of Hyperfunctions PDF Download
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Author: A. Kaneko
Publisher: Springer Science & Business Media
ISBN: 9789027728371
Category : Mathematics
Languages : en
Pages : 482
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Book Description
Author: A. Kaneko
Publisher: Springer Science & Business Media
ISBN: 9789027728371
Category : Mathematics
Languages : en
Pages : 482
Get Book Here
Book Description
Author: Mitsuo Morimoto
Publisher: American Mathematical Soc.
ISBN: 9780821887677
Category : Mathematics
Languages : en
Pages : 292
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Book Description
This book is a translation, with corrections and an updated bibliography, of Morimoto's 1976 book on the theory of hyperfunctions originally written in Japanese. Since the time that Sato established the theory of hyperfunctions, there have been many important applications to such areas as pseudodifferential operators and S-matrices. Assuming as little background as possible on the part of the reader, Morimoto covers the basic notions of the theory, from hyperfunctions of one variable to Sato's fundamental theorem. This book provides an excellent introduction to this important field of research.
Author: Urs Graf
Publisher: Springer Science & Business Media
ISBN: 3034604076
Category : Mathematics
Languages : en
Pages : 422
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Book Description
This textbook presents an introduction to the subject of generalized functions and their integral transforms by an approach based on the theory of functions of one complex variable. It includes many concrete examples.
Author: Keiko Fujita
Publisher: World Scientific
ISBN: 9789812776594
Category : Mathematics
Languages : en
Pages : 348
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Book Description
This book is a collection of original papers on microlocal analysis, Fourier analysis in the complex domain, generalized functions and related topics. Most of the papers originate from the talks given at the conference OC Prospects of Generalized FunctionsOCO (in November, 2001 at RIMS, Kyoto). Reflecting the fact that the papers, except M Morimoto''s one, are dedicated to Mitsuo Morimoto, the subjects considered in this book are interdisciplinary, just as Morimoto''s works are. The historical backgrounds of the subjects are also discussed in depth in some contributions. Thus, this book should be valuable not only to the specialists in the fields, but also to those who are interested in the history of modern mathematics such as distributions and hyperfunctions."
Author: Xavier Saint Raymond
Publisher: Routledge
ISBN: 1351452932
Category : Mathematics
Languages : en
Pages : 117
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Book Description
In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book provides the fundamental knowledge non-specialists need in order to use microlocal analysis. It is strictly mathematical in the sense that it contains precise definitions, statements of theorems and complete proofs, and follows the usual method of pure mathematics. The book explains the origin of the theory (i.e., Fourier transformation), presents an elementary construcion of distribution theory, and features a careful exposition of standard pseudodifferential theory. Exercises, historical notes, and bibliographical references are included to round out this essential book for mathematics students; engineers, physicists, and mathematicians who use partial differential equations; and advanced mathematics instructors.
Author: Hikosaburo Komatsu
Publisher: Springer
ISBN: 3540385061
Category : Mathematics
Languages : en
Pages : 536
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Book Description
Author: Goro Kato
Publisher: CRC Press
ISBN: 1000105180
Category : Mathematics
Languages : en
Pages : 317
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Book Description
"Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M. Sato and his colleagues. Features a complete review of hyperfunction-microfunction theory and the theory of D-modules. Strikes the perfect balance between analytic and algebraic aspects."
Author: Jørgen Ellegaard Andersen
Publisher: Oxford University Press
ISBN: 0192522361
Category : Mathematics
Languages : en
Pages : 392
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Book Description
Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics. These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.
Author: Karl E. Gustafson
Publisher: Courier Corporation
ISBN: 0486140873
Category : Mathematics
Languages : en
Pages : 500
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Book Description
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Author: Victor Guillemin
Publisher: Princeton University Press
ISBN: 1400881579
Category : Mathematics
Languages : en
Pages : 148
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Book Description
Based on a seminar sponsored by the Institute for Advanced Study in 1977-1978, this set of papers introduces micro-local analysis concisely and clearly to mathematicians with an analytical background. The papers treat the theory of microfunctions and applications such as boundary values of elliptic partial differential equations, propagation of singularities in the vicinity of degenerate characteristics, holonomic systems, Feynman integrals from the hyperfunction point of view, and harmonic analysis on Lie groups.
