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Conical Refraction and Higher Microlocalization

  • Book
  • © 1993

Overview

Authors:
  1. Otto Liess
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1555)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-X
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  2. Introduction

    • Otto Liess
    Pages 1-32

  3. Higher order wave front sets

    • Otto Liess
    Pages 33-93

  4. Pseudodifferential operators

    • Otto Liess
    Pages 95-144

  5. Bi-symplectic geometry and multihomogeneous maps

    • Otto Liess
    Pages 145-191

  6. Fourier Integral Operators

    • Otto Liess
    Pages 193-223

  7. Conical refraction, hyperbolicity and slowness surfaces

    • Otto Liess
    Pages 225-278

  8. Propagation of regularity up to the boundary

    • Otto Liess
    Pages 279-308

  9. Some results on transmission problems

    • Otto Liess
    Pages 309-345

  10. Partial analyticity, higher microlocalization and sheaves

    • Otto Liess
    Pages 347-379

  11. Back Matter

    Pages 380-389
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Conical Refraction and Higher Microlocalization

  • Authors: Otto Liess

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0084678

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1993

  • Softcover ISBN: 978-3-540-57105-6Published: 29 September 1993

  • eBook ISBN: 978-3-540-47905-5Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 398

  • Topics: Analysis

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