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Author: Hikosaburo Komatsu
Publisher: Springer
ISBN: 3540385061
Category : Mathematics
Languages : en
Pages : 536
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Book Description
Author: Hikosaburo Komatsu
Publisher: Springer
ISBN: 3540385061
Category : Mathematics
Languages : en
Pages : 536
Get Book Here
Book Description
Author: Hikosaburo Komatsu
Publisher:
ISBN:
Category :
Languages : en
Pages : 530
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Book Description
Author: François Trèves
Publisher: Springer Science & Business Media
ISBN: 9780306404047
Category : Fourier integral operators
Languages : en
Pages : 382
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Book Description
Author: Jean-François Treves
Publisher: Springer Science & Business Media
ISBN: 1468487809
Category : Mathematics
Languages : en
Pages : 335
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Book Description
I have tried in this book to describe those aspects of pseudodifferential and Fourier integral operator theory whose usefulness seems proven and which, from the viewpoint of organization and "presentability," appear to have stabilized. Since, in my opinion, the main justification for studying these operators is pragmatic, much attention has been paid to explaining their handling and to giving examples of their use. Thus the theoretical chapters usually begin with a section in which the construction of special solutions of linear partial differential equations is carried out, constructions from which the subsequent theory has emerged and which continue to motivate it: parametrices of elliptic equations in Chapter I (introducing pseudodifferen tial operators of type 1, 0, which here are called standard), of hypoelliptic equations in Chapter IV (devoted to pseudodifferential operators of type p, 8), fundamental solutions of strongly hyperbolic Cauchy problems in Chap ter VI (which introduces, from a "naive" standpoint, Fourier integral operators), and of certain nonhyperbolic forward Cauchy problems in Chapter X (Fourier integral operators with complex phase). Several chapters-II, III, IX, XI, and XII-are devoted entirely to applications. Chapter II provides all the facts about pseudodifferential operators needed in the proof of the Atiyah-Singer index theorem, then goes on to present part of the results of A. Calderon on uniqueness in the Cauchy problem, and ends with a new proof (due to J. J. Kohn) of the celebrated sum-of-squares theorem of L. Hormander, a proof that beautifully demon strates the advantages of using pseudodifferential operators.
Author: Francois Treves
Publisher: American Mathematical Soc.
ISBN: 0821814699
Category : Mathematics
Languages : en
Pages : 311
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Book Description
"Proceedings of the Symposium on Pseudodifferential Operators and Fourier Integral Operators with Applications to Partial Differential Equations held at the University of Notre Dame, Notre Dame, Indiana, April 2-5, 1984"--T.p. verso.
Author: F.L. Pham
Publisher: Springer
ISBN: 354037454X
Category : Mathematics
Languages : en
Pages : 227
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Book Description
Author: V. S. Vladimirov
Publisher: CRC Press
ISBN: 9780415273565
Category : Mathematics
Languages : en
Pages : 332
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Book Description
This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values of helomorphic functions for one and several variables. The author addresses several facets in depth, including convolution theory, convolution algebras and convolution equations in them, homogenous generalized functions, and multiplication of generalized functions. This book will meet the needs of researchers, engineers, and students of applied mathematics, control theory, and the engineering sciences.
Author: Lars Hörmander
Publisher: Springer
ISBN: 3642614973
Category : Mathematics
Languages : en
Pages : 454
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Book Description
The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and for numerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.
Author: Thorsten Holm
Publisher: Cambridge University Press
ISBN: 1139488880
Category : Mathematics
Languages : en
Pages : 473
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Book Description
A 2010 collection of survey articles by leading experts covering fundamental aspects of triangulated categories, as well as applications in algebraic geometry, representation theory, commutative algebra, microlocal analysis and algebraic topology. This is a valuable reference for experts and a useful introduction for graduate students entering the field.
Author: Ram P. Kanwal
Publisher: Springer Science & Business Media
ISBN: 0817681744
Category : Mathematics
Languages : en
Pages : 490
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Book Description
Provides a more cohesive and sharply focused treatment of fundamental concepts and theoretical background material, with particular attention given to better delineating connections to varying applications Exposition driven by additional examples and exercises
