Seminar on Micro-Local Analysis

Victor Guillemin, Masaki Kashiwara, Takahiro Kawai (Autoren)

Buch | Softcover

152 Seiten

1979
Princeton University Press (Verlag)
978-0-691-08232-5 (ISBN)

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The first series of lectures in this volume are an introductory account of the theory of microfunctions. This parallels somewhat the account in (SKK); however, here the cohomological aspects of the subject are somewhat suppressed in order to make these lectures more accessible to an audience of analysts. The subsequent lectures in this volume are d

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.

*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

Erscheint lt. Verlag	21.11.1979
Reihe/Serie	Annals of Mathematics Studies
Verlagsort	New Jersey
Sprache	englisch
Maße	152 x 229 mm
Gewicht	227 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-691-08232-4 / 0691082324
ISBN-13	978-0-691-08232-5 / 9780691082325
Zustand	Neuware