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An Introduction To Satos Hyperfunctions
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Book Synopsis An Introduction to Sato's Hyperfunctions by : Mitsuo Morimoto
Download or read book An Introduction to Sato's Hyperfunctions written by Mitsuo Morimoto and published by American Mathematical Soc.. This book was released on 1993-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Hyperfunctions and Their Integral Transforms by : Urs Graf
Download or read book Introduction to Hyperfunctions and Their Integral Transforms written by Urs Graf and published by Springer Science & Business Media. This book was released on 2010-03-12 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to the Theory of Hyperfunctions by : A. Kaneko
Download or read book Introduction to the Theory of Hyperfunctions written by A. Kaneko and published by Springer Science & Business Media. This book was released on 1989-02-28 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Hyperfunctions and Their Integral Transforms by : Urs Graf
Download or read book Introduction to Hyperfunctions and Their Integral Transforms written by Urs Graf and published by Springer Science & Business Media. This book was released on 2010-12-28 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols by : Sabir Umarov
Download or read book Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols written by Sabir Umarov and published by Springer. This book was released on 2015-08-18 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel
Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-11-11 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Book Synopsis Hyperfunctions and Pseudo-Differential Equations by : Hikosaburo Komatsu
Download or read book Hyperfunctions and Pseudo-Differential Equations written by Hikosaburo Komatsu and published by Springer. This book was released on 2006-11-15 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seminar on Micro-Local Analysis. (AM-93), Volume 93 by : Victor Guillemin
Download or read book Seminar on Micro-Local Analysis. (AM-93), Volume 93 written by Victor Guillemin and published by Princeton University Press. This book was released on 2016-03-02 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Structures by : Joachim Hilgert
Download or read book Mathematical Structures written by Joachim Hilgert and published by Springer Nature. This book was released on with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Partial Differential Equations and Hilbert Space Methods by : Karl E. Gustafson
Download or read book Introduction to Partial Differential Equations and Hilbert Space Methods written by Karl E. Gustafson and published by Courier Corporation. This book was released on 2012-04-26 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Microlocal Analysis and Complex Fourier Analysis by : Keiko Fujita
Download or read book Microlocal Analysis and Complex Fourier Analysis written by Keiko Fujita and published by World Scientific. This book was released on 2002 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
Book Synopsis Hyperfunctions and Harmonic Analysis on Symmetric Spaces by : Henrik Schlichtkrull
Download or read book Hyperfunctions and Harmonic Analysis on Symmetric Spaces written by Henrik Schlichtkrull and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introductory exposition of the theory of hyperfunctions and regular singularities. 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.
Book Synopsis Strong Boundary Values, Analytic Functionals, and Nonlinear Paley-Wiener Theory by : Jean-Pierre Rosay
Download or read book Strong Boundary Values, Analytic Functionals, and Nonlinear Paley-Wiener Theory written by Jean-Pierre Rosay and published by American Mathematical Soc.. This book was released on 2001 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is intended for graduate students and research mathematicians interested in functional analysis, several complex variables, analytic spaces, and differential equations.
Book Synopsis Hyperfunctions on Hypo-analytic Manifolds by : Paulo Cordaro
Download or read book Hyperfunctions on Hypo-analytic Manifolds written by Paulo Cordaro and published by Princeton University Press. This book was released on 1994-10-23 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first two chapters of this book, the reader will find a complete and systematic exposition of the theory of hyperfunctions on totally real submanifolds of multidimensional complex space, in particular of hyperfunction theory in real space. The book provides precise definitions of the hypo-analytic wave-front set and of the Fourier-Bros-Iagolnitzer transform of a hyperfunction. These are used to prove a very general version of the famed Theorem of the Edge of the Wedge. The last two chapters define the hyperfunction solutions on a general (smooth) hypo-analytic manifold, of which particular examples are the real analytic manifolds and the embedded CR manifolds. The main results here are the invariance of the spaces of hyperfunction solutions and the transversal smoothness of every hyperfunction solution. From this follows the uniqueness of solutions in the Cauchy problem with initial data on a maximally real submanifold, and the fact that the support of any solution is the union of orbits of the structure.
Book Synopsis Analysis of Dirac Systems and Computational Algebra by : Fabrizio Colombo
Download or read book Analysis of Dirac Systems and Computational Algebra written by Fabrizio Colombo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: * 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
Book Synopsis Proceedings of the Second ISAAC Congress by : Heinrich G.W. Begehr
Download or read book Proceedings of the Second ISAAC Congress written by Heinrich G.W. Begehr and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the Proceedings of the Second ISAAC Congress. ISAAC is the acronym of the International Society for Analysis, its Applications and Computation. The president of ISAAC is Professor Robert P. Gilbert, the second named editor of this book, e-mail: [email protected]. The Congress is world-wide valued so highly that an application for a grant has been selected and this project has been executed with Grant No. 11-56 from *the Commemorative Association for the Japan World Exposition (1970). The finance of the publication of this book is exclusively the said Grant No. 11-56 from *. Thus, a pair of each one copy of two volumes of this book will be sent to all contributors, who registered at the Second ISAAC Congress in Fukuoka, free of charge by the Kluwer Academic Publishers. Analysis is understood here in the broad sense of the word, includ ing differential equations, integral equations, functional analysis, and function theory. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. With this objective, ISAAC organizes international Congresses for the presentation and dis cussion of research on analysis. ISAAC welcomes new members and those interested in joining ISAAC are encouraged to look at the web site http://www .math. udel.edu/ gilbert/isaac/index.html vi and http://www.math.fu-berlin.de/ rd/ ag/isaac/newton/index.html.
