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.
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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 devoted to special aspects of the theory of micro functions and to applications such as boundary values of elliptic partial differential equations.
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