Introduction to Sato’s microlocal analysis
Introduction to Sato’s microlocal analysis. Functions analytic at a point and in a direction. Functions analytic in a field of directions on a real vector space. Boundary values of a function which is analytic in a field of directions. Boundary values in the sense of distributions. Boundary values in the sense of hyperfunctions. The microsingular support of a hyperfunction. The microsingular support of an integral. Oscillatory integrals. The behaviour of light waves in the neighbourhood of caustics.
KeywordsOpen Subset Oscillatory Integral Dirac Distribution Smooth Hypersurface Personal Taste
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