Conical Refraction and Higher Microlocalization / by Otto Liess.

Format:

Book

Author/Creator:

Liess, Otto, 1945- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1555.

Lecture Notes in Mathematics, 0075-8434 ; 1555

Language:

English

Subjects (All):

Global analysis (Mathematics).

Analysis.

Local Subjects:

Analysis.

Physical Description:

1 online resource (X, 398 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993.

System Details:

text file PDF

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.

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.

Other Format:

Printed edition:

ISBN:

9783540479055

Access Restriction:

Restricted for use by site license.