$Conical refraction and higher microlocalization /$

Conical refraction and higher microlocalization /

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Bibliographic Details
Author / Creator:	Liess, Otto, 1945-
Imprint:	Berlin ; New York : Springer-Verlag, ©1993.
Description:	1 online resource (x, 389 pages).
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1555 Lecture notes in mathematics (Springer-Verlag) ; 1555.
Subject:	Differential equations, Partial. Microlocal analysis. Singularities (Mathematics) Differential equations, Partial. Microlocal analysis. Singularities (Mathematics)
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11069900

Hidden Bibliographic Details
ISBN:	9783540479055 3540479058 3540571051 9783540571056 0387571051 9780387571058
Notes:	Includes bibliographical references (pages 380-385) and index. Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve Print version record.
Summary:	The main topic of the book is higher analytic microlocalization and its application to problems of propagation of singularities. The part on higher microlocalization could serve as an introduction to the subject. The results on propagation refer to solutions of linear partial differentialoperators with characteristics of variable multiplicity and are of conical refraction type. The relation and interplay between these results and results or constructions from geometrical optics in crystal theory is discussed with many details. The notes are written foremost for researchers working in microlocal analysis, but it is hoped that they can also be of interest for mathematicians and physicists who work in propagation phenomena from a more classical point of view.
Other form:	Print version: Liess, Otto, 1945- Conical refraction and higher microlocalization. Berlin ; New York : Springer-Verlag, ©1993 3540571051

Table of Contents:

Higher order wave front sets
Pseudodifferential operators
Bi-symplectic geometry and multihomogeneous maps
Fourier Integral Operators
Conical refraction, hyperbolicity and slowness surfaces
Propagation of regularity up to the boundary
Some results on transmission problems
Partial analyticity, higher microlocalization and sheaves.