Seminar on Micro-Local Analysis. (AM-93), Volume 93
Seminar on Micro-Local Analysis. (AM-93), Volume 93

Author: Victor Guillemin

Publisher: Princeton University Press

Published: 2016-03-02

Total Pages: 148

ISBN-13: 1400881579

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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.

Seminar on Micro-local Analysis
Seminar on Micro-local Analysis

Author: Victor Guillemin

Publisher:

Published: 1979

Total Pages: 137

ISBN-13: 9780691082288

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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.

Nonlinear Analysis And Microlocal Analysis - Proceedings Of The International Conference At The Nankai Institute Of Mathematics
Nonlinear Analysis And Microlocal Analysis - Proceedings Of The International Conference At The Nankai Institute Of Mathematics

Author: Chang Kung-ching

Publisher: World Scientific

Published: 1992-10-09

Total Pages: 268

ISBN-13: 9814555142

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These proceedings contain recent developments on the following important topics: variational problems, fully nonlinear elliptic equations, PDE from differential geometry, hamiltonian systems, nonlinear evolution equations and nonlinear microlocal analysis. Included are many interesting survey papers with the latest research materials.

New Trends in Microlocal Analysis
New Trends in Microlocal Analysis

Author: J.-M. Bony

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 237

ISBN-13: 4431684131

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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.

Fundamentals of Algebraic Microlocal Analysis
Fundamentals of Algebraic Microlocal Analysis

Author: Goro Kato

Publisher: CRC Press

Published: 2020-08-11

Total Pages: 317

ISBN-13: 1000105180

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"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."

Microlocal Analysis and Applications
Microlocal Analysis and Applications

Author: Lamberto Cattabriga

Publisher: Springer

Published: 2006-11-14

Total Pages: 357

ISBN-13: 3540466037

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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.

An Introduction to Semiclassical and Microlocal Analysis
An Introduction to Semiclassical and Microlocal Analysis

Author: André Bach

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 193

ISBN-13: 1475744951

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This book presents the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics in a pedagogical, way and is mainly addressed to non-specialists in the subject. It is based on lectures taught by the author over several years, and includes many exercises providing outlines of useful applications of the semi-classical theory.

Microlocal Analysis And Complex Fourier Analysis
Microlocal Analysis And Complex Fourier Analysis

Author: Keiko Fujita

Publisher: World Scientific

Published: 2002-12-12

Total Pages: 339

ISBN-13: 9814487503

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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.

Advances in Microlocal Analysis
Advances in Microlocal Analysis

Author: H.G. Garnir

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 400

ISBN-13: 9400946066

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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.