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Author : A. Kaneko
Publisher : Springer Science & Business Media
ISBN 13 : 9789027728371
Total Pages : 482 pages
Book Rating : 4.7/5 (283 download)
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:
Author : Mitsuo Morimoto
Publisher : American Mathematical Soc.
ISBN 13 : 9780821887677
Total Pages : 292 pages
Book Rating : 4.8/5 (876 download)
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.
Author : Urs Graf
Publisher : Springer Science & Business Media
ISBN 13 : 3034604076
Total Pages : 422 pages
Book Rating : 4.0/5 (346 download)
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.
Author : Henrik Schlichtkrull
Publisher : Springer Science & Business Media
ISBN 13 : 1461252989
Total Pages : 197 pages
Book Rating : 4.4/5 (612 download)
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.
Author : Isao Imai
Publisher : Springer Science & Business Media
ISBN 13 : 9401125481
Total Pages : 442 pages
Book Rating : 4.4/5 (11 download)
Download or read book Applied Hyperfunction Theory written by Isao Imai and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized functions are now widely recognized as important mathematical tools for engineers and physicists. But they are considered to be inaccessible for non-specialists. To remedy this situation, this book gives an intelligible exposition of generalized functions based on Sato's hyperfunction, which is essentially the `boundary value of analytic functions'. An intuitive image -- hyperfunction = vortex layer -- is adopted, and only an elementary knowledge of complex function theory is assumed. The treatment is entirely self-contained. The first part of the book gives a detailed account of fundamental operations such as the four arithmetical operations applicable to hyperfunctions, namely differentiation, integration, and convolution, as well as Fourier transform. Fourier series are seen to be nothing but periodic hyperfunctions. In the second part, based on the general theory, the Hilbert transform and Poisson-Schwarz integral formula are treated and their application to integral equations is studied. A great number of formulas obtained in the course of treatment are summarized as tables in the appendix. In particular, those concerning convolution, the Hilbert transform and Fourier transform contain much new material. For mathematicians, mathematical physicists and engineers whose work involves generalized functions.
Author : Piotr Antosik
Publisher : World Scientific
ISBN 13 : 9814611719
Total Pages : 398 pages
Book Rating : 4.8/5 (146 download)
Download or read book Generalized Functions And Convergence: Memorial Volume For Professor Jan Mikusinski written by Piotr Antosik and published by World Scientific. This book was released on 1990-09-12 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures.
Author : Henri Bourles
Publisher : Elsevier
ISBN 13 : 0081023855
Total Pages : 362 pages
Book Rating : 4.0/5 (81 download)
Download or read book Fundamentals of Advanced Mathematics V2 written by Henri Bourles and published by Elsevier. This book was released on 2018-02-03 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three volumes of this series of books, of which this is the second, put forward the mathematical elements that make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. Whereas the first volume focused on the formal conditions for systems of linear equations (in particular of linear differential equations) to have solutions, this book presents the approaches to finding solutions to polynomial equations and to systems of linear differential equations with varying coefficients. Fundamentals of Advanced Mathematics, Volume 2: Field Extensions, Topology and Topological Vector Spaces, Functional Spaces, and Sheaves begins with the classical Galois theory and the theory of transcendental field extensions. Next, the differential side of these theories is treated, including the differential Galois theory (Picard-Vessiot theory of systems of linear differential equations with time-varying coefficients) and differentially transcendental field extensions. The treatment of analysis includes topology (using both filters and nets), topological vector spaces (using the notion of disked space, which simplifies the theory of duality), and the radon measure (assuming that the usual theory of measure and integration is known). In addition, the theory of sheaves is developed with application to the theory of distributions and the theory of hyperfunctions (assuming that the usual theory of functions of the complex variable is known). This volume is the prerequisite to the study of linear systems with time-varying coefficients from the point-of-view of algebraic analysis and the algebraic theory of nonlinear systems. - Present Galois Theory, transcendental field extensions, and Picard - Includes sections on Vessiot theory, differentially transcendental field extensions, topology, topological vector spaces, Radon measure, differential calculus in Banach spaces, sheaves, distributions, hyperfunctions, algebraic analysis, and local analysis of systems of linear differential equations
Author : Goro Kato
Publisher : CRC Press
ISBN 13 : 1000148394
Total Pages : 320 pages
Book Rating : 4.0/5 (1 download)
Download or read book Fundamentals of Algebraic Microlocal Analysis written by Goro Kato and published by CRC Press. This book was released on 2020-08-11 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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 : Hikosaburo Komatsu
Publisher : Springer
ISBN 13 : 3540385061
Total Pages : 536 pages
Book Rating : 4.5/5 (43 download)
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:
Author : Keiko Fujita
Publisher : World Scientific
ISBN 13 : 9789812776594
Total Pages : 348 pages
Book Rating : 4.7/5 (765 download)
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."
Author : V Arnold
Publisher : CRC Press
ISBN 13 : 9780412452703
Total Pages : 312 pages
Book Rating : 4.4/5 (527 download)
Download or read book Developments in Mathematics written by V Arnold and published by CRC Press. This book was released on 1993-01-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of seven survey articles especially commissioned by Professors Arnold and Monastyrsky highlighting areas where the Moscow scholl has amde significant recent contributions to theoretical mathematics. Contributions include papers on Knot theory, supersurfaces and dynamical systems. This book contains articles on aspects of mathematics that have become increasingly important in the west. The editors are internationally renowned for the standard of their work.
Author : Paulo Cordaro
Publisher : Princeton University Press
ISBN 13 : 1400882567
Total Pages : 378 pages
Book Rating : 4.4/5 (8 download)
Download or read book Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 written by Paulo Cordaro and published by Princeton University Press. This book was released on 2016-03-02 with total page 378 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.
Author : Ioannis Antoniou
Publisher : CRC Press
ISBN 13 : 1000657744
Total Pages : 360 pages
Book Rating : 4.0/5 (6 download)
Download or read book Generalized Functions, Operator Theory, and Dynamical Systems written by Ioannis Antoniou and published by CRC Press. This book was released on 2021-02-25 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nobel prize winner Ilya Prigogine writes in his preface: "Irreversibility is a challenge to mathematics...[which] leads to generalized functions and to an extension of spectral analysis beyond the conventional Hilbert space theory." Meeting this challenge required new mathematical formulations-obstacles met and largely overcome thanks primarily to the contributors to this volume." This compilation of works grew out of material presented at the "Hyperfunctions, Operator Theory and Dynamical Systems" symposium at the International Solvay Institutes for Physics and Chemistry in 1997. The result is a coherently organized collective work that moves from general, widely applicable mathematical methods to ever more specialized physical applications. Presented in two sections, part one describes Generalized Functions and Operator Theory, part two addresses Operator Theory and Dynamical Systems. The interplay between mathematics and physics is now more necessary than ever-and more difficult than ever, given the increasing complexity of theories and methods.
Author : Luigi Rodino
Publisher : Springer Science & Business Media
ISBN 13 : 3034800495
Total Pages : 309 pages
Book Rating : 4.0/5 (348 download)
Download or read book Pseudo-Differential Operators: Analysis, Applications and Computations written by Luigi Rodino and published by Springer Science & Business Media. This book was released on 2011-03-13 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13-18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics”, “Modern Trends in Pseudo-Differential Operators”, “New Developments in Pseudo-Differential Operators” and “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010.
Author : Tokushima Daigaku
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (327 download)
Download or read book Journal of Mathematics written by Tokushima Daigaku and published by . This book was released on 2001 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frédéric Pham
Publisher : Springer Science & Business Media
ISBN 13 : 0857296035
Total Pages : 218 pages
Book Rating : 4.8/5 (572 download)
Download or read book Singularities of integrals written by Frédéric Pham and published by Springer Science & Business Media. This book was released on 2011-04-22 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together two fundamental texts from Frédéric Pham’s research on singular integrals, the first part of this book focuses on topological and geometrical aspects while the second explains the analytic approach. Using notions developed by J. Leray in the calculus of residues in several variables and R. Thom’s isotopy theorems, Frédéric Pham’s foundational study of the singularities of integrals lies at the interface between analysis and algebraic geometry, culminating in the Picard-Lefschetz formulae. These mathematical structures, enriched by the work of Nilsson, are then approached using methods from the theory of differential equations and generalized from the point of view of hyperfunction theory and microlocal analysis. Providing a ‘must-have’ introduction to the singularities of integrals, a number of supplementary references also offer a convenient guide to the subjects covered. This book will appeal to both mathematicians and physicists with an interest in the area of singularities of integrals. Frédéric Pham, now retired, was Professor at the University of Nice. He has published several educational and research texts. His recent work concerns semi-classical analysis and resurgent functions.
Author : Tokushima Daigaku
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.0/5 ( download)
Download or read book Journal of Mathematics, Tokushima University written by Tokushima Daigaku and published by . This book was released on 1993 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
