Seminar on Micro-Local Analysis. (AM-93) ( Annals of Mathematics Studies )

Publication series ：Annals of Mathematics Studies

Author： Guillemin Victor;Kashiwara Masaki;Kawai Takahiro

Publisher： Princeton University Press‎

Publication year： 2016

E-ISBN: 9781400881574

P-ISBN(Paperback): 9780691082288

Subject： O17 Mathematical Analysis

Keyword：微积分,数学

Language： ENG

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Description

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.

Chapter

INTRODUCTION TO THE THEORY OF HYPERFUNCTIONS

SOME APPLICATIONS OF BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS

A SZEGO-TYPE THEOREM FOR SYMMETRIC SPACES

SOME MICRO-LOCAL ASPECTS OF ANALYSIS ON COMPACT SYMMETRIC SPACES

ON HOLONOMIC SYSTEMS WITH REGULAR SINGULARITIES

MICRO-LOCAL ANALYSIS OF FEYNMAN AMPLITUDES

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