Conical Refraction and Higher Microlocalization

Otto Liess

ISBN 10: 3540571051 / ISBN 13: 9783540571056

Editore: Springer Berlin Heidelberg, J.B. Metzler Sep 1993, 1993

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This item is printed on demand - Print on Demand Titel. Neuware -The main topic of the book is higher analyticmicrolocalization and its application to problems ofpropagation of singularities. The part on highermicrolocalization could serve as an introduction to thesubject. The results on propagation refer to solutions oflinear partial differentialoperators with characteristicsof variable multiplicity and are of conical refraction type.The relation and interplay between these results and resultsor constructions from geometrical optics in crystal theoryis discussed with many details. The notes are writtenforemost for researchers working in microlocal analysisbut it is hoped that they can also be of interest formathematicians and physicists who work in propagationphenomena from a more classical point of view.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 408 pp. Englisch.

Codice articolo 9783540571056

Dati bibliografici

• Titolo: Conical Refraction and Higher Microlocalization
• Editore: Springer Berlin Heidelberg, J.B. Metzler Sep 1993
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 3540571051
• ISBN 13: 9783540571056
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 23 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 23 millimetri di profondità
• Peso: 616 grammi

Descrizione articolo

Riassunto

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.

Contenuti

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.