書誌事項

Seminar on micro-local analysis

by Victor W. Guillemin, Masaki Kashiwara, and Takahiro Kawai

(Annals of mathematics studies, no. 93)

Princeton University Press , University of Tokyo Press, 1979

  • pbk.

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注記

Lectures based on a seminar sponsored by the Institute for Advanced Study, 1977-1978

Includes bibliographies

内容説明・目次

巻冊次

ISBN 9780691082288

内容説明

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.
巻冊次

pbk. ISBN 9780691082325

内容説明

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.

目次

*Frontmatter, pg. i*TABLE OF CONTENTS, pg. v*PREFACE, pg. vii*INTRODUCTION TO THE THEORY OF HYPERFUNCTIONS, pg. 1*SOME APPLICATIONS OF BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS, pg. 39*A SZEGO-TYPE THEOREM FOR SYMMETRIC SPACES, pg. 63*SOME MICRO-LOCAL ASPECTS OF ANALYSIS ON COMPACT SYMMETRIC SPACES, pg. 79*ON HOLONOMIC SYSTEMS WITH REGULAR SINGULARITIES, pg. 113*MICRO-LOCAL ANALYSIS OF FEYNMAN AMPLITUDES, pg. 123*Backmatter, pg. 139

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