Microlocal Analysis And Complex Fourier Analysis
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Author |
: Takahiro Kawai |
Publisher |
: World Scientific |
Total Pages |
: 339 |
Release |
: 2002 |
ISBN-10 |
: 9789812381613 |
ISBN-13 |
: 9812381619 |
Rating |
: 4/5 (13 Downloads) |
Synopsis Microlocal Analysis and Complex Fourier Analysis by : Takahiro Kawai
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.
Author |
: Keiko Fujita |
Publisher |
: World Scientific |
Total Pages |
: 348 |
Release |
: 2002 |
ISBN-10 |
: 9812776591 |
ISBN-13 |
: 9789812776594 |
Rating |
: 4/5 (91 Downloads) |
Synopsis Microlocal Analysis and Complex Fourier Analysis by : Keiko Fujita
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 |
: M. Salah Baouendi |
Publisher |
: |
Total Pages |
: 264 |
Release |
: 1984 |
ISBN-10 |
: UCAL:B4405757 |
ISBN-13 |
: |
Rating |
: 4/5 (57 Downloads) |
Synopsis Microlocal Analysis by : M. Salah Baouendi
This volume is the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Microlocal Analysis and its Applications to Partial Differential Equations, held July 10-16, 1983 in Boulder, Colorado. It contains refereed articles which were delivered at the conference. Two of the papers are survey articles, one on uniqueness and non-uniqueness in the Cauchy problem and one on hypoanalytic structures; the rest are either detailed announcements or complete papers covering such areas as spectrum of operators, nonlinear problems, asymptotics, pseudodifferential operators of multiple characteristics and operators on groups and homogeneous spaces. The volume should be useful to active mathematicians and graduate students working on linear and nonlinear partial differential equations and related areas.
Author |
: Luigi Rodino |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 449 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9789401156264 |
ISBN-13 |
: 9401156263 |
Rating |
: 4/5 (64 Downloads) |
Synopsis Microlocal Analysis and Spectral Theory by : Luigi Rodino
The NATO Advanced Study Institute "Microlocal Analysis and Spectral The ory" was held in Tuscany (Italy) at Castelvecchio Pascoli, in the district of Lucca, hosted by the international vacation center "11 Ciocco" , from September 23 to October 3, 1996. The Institute recorded the considerable progress realized recently in the field of Microlocal Analysis. In a broad sense, Microlocal Analysis is the modern version of the classical Fourier technique in solving partial differential equa tions, where now the localization proceeding takes place with respect to the dual variables too. Precisely, through the tools of pseudo-differential operators, wave-front sets and Fourier integral operators, the general theory of the lin ear partial differential equations is now reaching a mature form, in the frame of Schwartz distributions or other generalized functions. At the same time, Microlocal Analysis has grown up into a definite and independent part of Math ematical Analysis, with other applications all around Mathematics and Physics, one major theme being Spectral Theory for Schrodinger equation in Quantum Mechanics.
Author |
: Sigurdur Helgason |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 214 |
Release |
: 1999-08-01 |
ISBN-10 |
: 0817641092 |
ISBN-13 |
: 9780817641092 |
Rating |
: 4/5 (92 Downloads) |
Synopsis The Radon Transform by : Sigurdur Helgason
The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications, namely to partial differential equations, group representations, X-ray technology, nuclear magnetic resonance scanning, and tomography. This second edition, significantly expanded and updated, presents new material taking into account some of the progress made in the field since 1980. Aimed at beginning graduate students, this monograph will be useful in the classroom or as a resource for self-study. Readers will find here an accessible introduction to Radon transform theory, an elegant topic in integral geometry.
Author |
: J.-M. Bony |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 237 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9784431684138 |
ISBN-13 |
: 4431684131 |
Rating |
: 4/5 (38 Downloads) |
Synopsis New Trends in Microlocal Analysis by : J.-M. Bony
Microlocal analysis began around 1970 when Mikio Sato, along with coauthors Masaki Kashiwara and Takahiro Kawai, wrote a decisive article on the structure of pseudodifferential equations, thus laying the foundation of D-modules and the singular spectrums of hyperfunctions. The key idea is the analysis of problems on the phase space, i.e., the cotangent bundle of the base space. Microlocal analysis is an active area of mathematical research that has been applied to many fields such as real and complex analysis, representation theory, topology, number theory, and mathematical physics. This volume contains the presentations given at a seminar jointly organized by the Japan Society for the Promotion of Science and Centre National des Recherches Scientifiques entitled New Trends in Microlocal Analysis. The book is divided into three parts: partial differential equations and mathematical analysis, mathematical physics, and algebraic analysis - D-modules and sheave theory. The large variety of new research that is covered will prove invaluable to students and researchers alike.
Author |
: Lamberto Cattabriga |
Publisher |
: Springer |
Total Pages |
: 357 |
Release |
: 2006-11-14 |
ISBN-10 |
: 9783540466031 |
ISBN-13 |
: 3540466037 |
Rating |
: 4/5 (31 Downloads) |
Synopsis Microlocal Analysis and Applications by : Lamberto Cattabriga
CONTENTS: J.M. Bony: Analyse microlocale des equations aux derivees partielles non lineaires.- G.G. Grubb: Parabolic pseudo-differential boundary problems and applications.- L. H|rmander: Quadratic hyperbolic operators.- H. Komatsu: Microlocal analysis in Gevrey classes and in complex domains.- J. Sj|strand: Microlocal analysis for the periodic magnetic Schr|dinger equation and related questions.
Author |
: Goro Kato |
Publisher |
: CRC Press |
Total Pages |
: 317 |
Release |
: 2020-08-11 |
ISBN-10 |
: 9781000105186 |
ISBN-13 |
: 1000105180 |
Rating |
: 4/5 (86 Downloads) |
Synopsis Fundamentals of Algebraic Microlocal Analysis by : Goro Kato
"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 |
: H.G. Garnir |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 400 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9789400946064 |
ISBN-13 |
: 9400946066 |
Rating |
: 4/5 (64 Downloads) |
Synopsis Advances in Microlocal Analysis by : H.G. Garnir
The 1985 Castel vecchio-Pas coli NATO Advanced Study Institute is aimed to complete the trilogy with the two former institutes I organized : "Boundary Value Problem for Evolution Partial Differential Operators", Liege, 1976 and "Singularities in Boundary Value Problems", Maratea, 1980. It was indeed necessary to record the considerable progress realized in the field of the propagation of singularities of Schwartz Distri butions which led recently to the birth of a new branch of Mathema tical Analysis called Microlocal Analysis. Most of this theory was mainly built to be applied to distribution solutions of linear partial differential problems. A large part of this institute still went in this direction. But, on the other hand, it was also time to explore the new trend to use microlocal analysis In non linear differential problems. I hope that the Castelvecchio NATO ASI reached its purposes with the help of the more famous authorities in the field. The meeting was held in Tuscany (Italy) at Castelvecchio-Pascoli, little village in the mountains north of Lucca on September 2-12, 1985. It was hosted by "11 Ciocco" an international vacation Center, In a comfortable hotel located in magnificent mountain surroundings and provided with all conference and sport facilities.
Author |
: Alain Grigis |
Publisher |
: Cambridge University Press |
Total Pages |
: 164 |
Release |
: 1994-03-03 |
ISBN-10 |
: 0521449863 |
ISBN-13 |
: 9780521449861 |
Rating |
: 4/5 (63 Downloads) |
Synopsis Microlocal Analysis for Differential Operators by : Alain Grigis
This book corresponds to a graduate course given many times by the authors, and should prove to be useful to mathematicians and theoretical physicists.