This short introduction to microlocal analysis is presented, in the
spirit of Hoermander, 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 Sjoestrand 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.
General
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