An Introduction To Sato S Hyperfunctions

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An Introduction To Sato S Hyperfunctions

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Author : Mitsuo Morimoto
language : en
Publisher: American Mathematical Soc.
Release Date : 1993-01-01

An Introduction To Sato S Hyperfunctions written by Mitsuo Morimoto and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Mathematics categories.

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.

Introduction To Hyperfunctions And Their Integral Transforms

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Author : Urs Graf
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-28

Introduction To Hyperfunctions And Their Integral Transforms written by Urs Graf and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-28 with Mathematics categories.

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.

Encyclopaedia Of Mathematics

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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-08-31

Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-08-31 with Mathematics categories.

V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.

Mathematical Structures

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Author : Joachim Hilgert
language : en
Publisher: Springer Nature
Release Date : 2024-08-06

Mathematical Structures written by Joachim Hilgert and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-06 with Mathematics categories.

This textbook is intended to be accessible to any second-year undergraduate in mathematics who has attended courses on basic real analysis and linear algebra. It is meant to help students to appreciate the diverse specialized mathematics courses offered at their universities. Special emphasis is on similarities between mathematical fields and ways to compare them. The organizing principle is the concept of a mathematical structure which plays an important role in all areas of mathematics. The mathematical content used to explain the structural ideas covers in particular material that is typically taught in algebra and geometry courses. The discussion of ways to compare mathematical fields also provides introductions to categories and sheaves, whose ever-increasing role in modern mathematics suggests a more prominent role in teaching. The book is the English translation of the second edition of “Mathematische Strukturen” (Springer, 2024) written in German. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.

Introduction To The Theory Of Hyperfunctions

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Author : A. Kaneko
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-02-28

Introduction To The Theory Of Hyperfunctions written by A. Kaneko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-02-28 with Mathematics categories.

Introduction To Fractional And Pseudo Differential Equations With Singular Symbols

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Author : Sabir Umarov
language : en
Publisher: Springer
Release Date : 2015-08-18

Introduction To Fractional And Pseudo Differential Equations With Singular Symbols written by Sabir Umarov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-18 with Mathematics categories.

The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations. Fractional Fokker-Planck-Kolmogorov equations associated with a large class of stochastic processes are presented. A complex version of the theory of pseudo-differential operators with meromorphic symbols based on the recently introduced complex Fourier transform is developed and applied for initial and boundary value problems for systems of complex differential and pseudo-differential equations.

Encyclopaedia Of Mathematics

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Author : M. Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-11-11

Encyclopaedia Of Mathematics written by M. Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

Hyperfunctions And Pseudo Differential Equations

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Author : Hikosaburo Komatsu
language : en
Publisher: Springer
Release Date : 2006-11-15

Hyperfunctions And Pseudo Differential Equations written by Hikosaburo Komatsu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Hyperfunctions And Harmonic Analysis On Symmetric Spaces

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Author : Henrik Schlichtkrull
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Hyperfunctions And Harmonic Analysis On Symmetric Spaces written by Henrik Schlichtkrull and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

During the last ten years a powerful technique for the study of partial differential equations with regular singularities has developed using the theory of hyperfunctions. The technique has had several important applications in harmonic analysis for symmetric spaces. This book gives an introductory exposition of the theory of hyperfunctions and regular singularities, and on this basis it treats two major applications to harmonic analysis. The first is to the proof of Helgason’s conjecture, due to Kashiwara et al., which represents eigenfunctions on Riemannian symmetric spaces as Poisson integrals of their hyperfunction boundary values. A generalization of this result involving the full boundary of the space is also given. The second topic is the construction of discrete series for semisimple symmetric spaces, with an unpublished proof, due to Oshima, of a conjecture of Flensted-Jensen. This first English introduction to hyperfunctions brings readers to the forefront of research in the theory of harmonic analysis on symmetric spaces. A substantial bibliography is also included. This volume is based on a paper which was awarded the 1983 University of Copenhagen Gold Medal Prize.

Microlocal Analysis And Complex Fourier Analysis

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Author : Takahiro Kawai
language : en
Publisher: World Scientific
Release Date : 2002

Microlocal Analysis And Complex Fourier Analysis written by Takahiro Kawai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

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 ?Prospects of Generalized Functions? (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.