Introduction to Microlocal Analysis

Victor Ivrii ()
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Victor Ivrii: University of Toronto, Department of Mathematics

Chapter Chapter 1 in Microlocal Analysis, Sharp Spectral Asymptotics and Applications I, 2019, pp 2-125 from Springer

Abstract: Abstract In this chapter we give a survey of the theory of h-pseudodifferential operators (in Section 1.1), h-Fourier integral operators (in Section 1.2), the notion of wave front sets and related topics (in Section 1.3). Proofs are mostly sketchy since all the results of this chapter are trivial consequences of the results proven in L. Hörmander’s monograph [1] or they can be proven by trivial modifications of the arguments used in that book. Further, (in Section 1.4) we give a concise introduction to L. Boutet de Monvel calculus and its application to elliptic boundary value problems.

Date: 2019
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DOI: 10.1007/978-3-030-30557-4_1

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