TY - BOOK ID - 78090644 TI - Microlocal analysis for differential operators : an introduction AU - Grigis, Alain AU - Sjöstrand, J. PY - 1994 VL - 196 SN - 1139884921 1107100518 1107102995 1107088569 1107094747 1107091497 0511721447 9781107088566 9780511721441 0521449863 9780521449861 9781139884921 9781107100510 9781107102996 9781107094741 9781107091498 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Differential operators. KW - Microlocal analysis. KW - Functional analysis KW - Operators, Differential KW - Differential equations KW - Operator theory KW - Pseudodifferential operators KW - Opérateurs pseudo-différentiels KW - Singularities (Mathematics) KW - Singularités (mathématiques) KW - Analyse microlocale KW - Fourier, Opérateurs intégraux de UR - https://www.unicat.be/uniCat?func=search&query=sysid:78090644 AB - This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand emphasise the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKB-constructions. The contents of the book correspond to a graduate course given many times by the authors. It should prove to be useful to mathematicians and theoretical physicists, either to enrich their general knowledge of this area, or as preparation for the current research literature. ER -