D-Modules and Microlocal Geometry: Proceedings of the International Conference on D- Modules and Microlocal Geometry, Held at the University of Lisbon (Portugal), October 29-November 2, 1990

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The microlocal point of view refers to the idea of working in the cotangent bundle to a manifold in order to understand local problems on the base manifold. This approach has been successfully applied to linear partial differential equations and is now widely used in other fields such as singularity theory, complex analysis, and group representations. Topics covered include D-modules and distributions, holonomic systems and their variants, and index theorems for sheaves. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Foreword
List of Participants
Euler classes for elliptic pairs 1
Blow up of a regular holonomic system along an isotropic submanifold 9
Generalized Levi forms for microdifferential systems 25
On the ramified Cauchy problem 37
Deuxieme microlocalisation et problemes aux limites 45
Vanishing cycles and systems of differential equations 55
Sheaves of holomorphic functions with growth conditions 63
The asymptotics of a lattice point problem determined by a hypoelliptic polynomial 75
On the tempered solutions of regular systems 107
Systemes holonomes d'equations aux q-differences 125
Singularities of generalized Euler integrals 149
Decomposition of second microlocal analytic singularities 163
Indice equivariant et caractere d'une representation induite 173
Analytic singularities of solutions of differential equations 187
List of contributors 199
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