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Introduction to Sato’s microlocal analysis

  • Frédéric Pham
Part of the Universitext book series (UTX)

Abstract

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.

Keywords

Open Subset Oscillatory Integral Dirac Distribution Smooth Hypersurface Personal Taste 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • Frédéric Pham
    • 1
  1. 1.Laboratoire J.-A. DieudonnéUniversité de Nice Sophia AntipolisNice cedex 02France

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