Systems of Microdifferential Equations
Description
This volume is based on notes from a graduate course given by the author at the University of Paris. The field of microdifferential equations, to which the author has made substantial contributions, is an active area of mathematical research with applications to real and complex analysis, Lie groups, algebraic geometry, the topology of algebraic varieties, and mathematical physics (Feynman amplitudes). The volume will be of interest to graduate students and research mathematicians alike.
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Content
Introduction.-Microfunctions.-Microdifferential Systems.-Structure of Coherent zeta-modules.-Holomorphic Solutions of Systems of Partial Differential Equations.-Solutions of Holonomic Systems.-Index Theorem.-Appendix 1. Derived Categories.-Appendix 2. Whitney Stratification and Constructible Sheaves.-Bibliography.-References.