ISBN: 9780849378737
ID: 16588893
Symmetric cones, possibly disguised under non-linear changes of coordinates, are the building blocks of manifolds with edges, corners, or conical points of a very general nature. Besides being a canonical open set of some Euclidean space, a symmetric cone L has an intrinsic Riemannian structure of its own, turning it into a symmetric space. These two structures make it possible to define on L a Symmetric cones, possibly disguised under non-linear changes of coordinates, are the building blocks of manifolds with edges, corners, or conical points of a very general nature. Besides being a canonical open set of some Euclidean space, a symmetric cone L has an intrinsic Riemannian structure of its own, turning it into a symmetric space. These two structures make it possible to define on L a pseudodifferential analysis (the Fuchs calculus). The considerable interest in pseudodifferential problems on manifolds with non-smooth boundaries makes the precise analyses presented in this book both interesting and important. Much of the material in this book has never been previously published. The methods used throughout the text rely heavily on the USE of tools from quantum mechanics, such as representation theory and coherent states. Classes of operators defined by their symbols are given intrinsic characterizations. Harmonic analysis is discussed via the automorphism group of the complex tube over L. The basic definitions governing the Fuchs calculus are provided, and a thorough exposition of the fundamental facts concerning the geometry of symmetric cones is given. The relationship with Jordan algebras is outlined and the general theory is illustrated by numerous examples. The book offers the reader the technical tools for proving the main properties of the Fuchs calculus, with an emphasis on using the non-Euclidean Riemannian structure of the underlying cone. The fundamental results of pseudodifferential analysis are presented. The authors also develop the relationship to complex analysis and group representation. This book benefits researchers interested in analysis on non-smooth domains or anyone working in pseudodifferential analysis. People interested in the geometry or harmonic analysis of symmetric cones will find in this valuable reference a new range of applications of complex analysis on tube-type symmetric domains and of the theory of Jordan algebras. Books, Science and Geography~~Mathematics~~Calculus & Mathematical Analysis, Pseudodifferential Analysis On Symmetric Cones~~Book~~9780849378737~~Harald Upmeier, Andre Unterberger, , , , , , , , , ,, [PU: CRC Press]
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Unterberger, Andre Unterberger Unterberger, Unterberger:
Pseudodifferential Analysis on Symmetric Cones - hardcoverISBN: 9780849378737
[ED: Hardcover], [PU: CRC PR INC], The relationship with Jordan algebras is outlined and the general theory is illustrated by numerous examples.The book offers the reader the technical tools for proving the main properties of the Fuchs calculus, with an emphasis on using the non-Euclidean Riemannian structure of the underlying cone. The fundamental results of pseudodifferential analysis are presented. The authors also develop the relationship to complex analysis and group representation.This book benefits researchers interested in analysis on non-smooth domains or anyone working in pseudodifferential analysis. People interested in the geometry or harmonic analysis of symmetric cones will find in this valuable reference a new range of applications of complex analysis on tube-type symmetric domains and of the theory of Jordan algebras.224 pagesVersandfertig in über 4 Wochen, [SC: 0.00]
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1996
ISBN: 0849378737
ID: 570078652
[EAN: 9780849378737], [PU: Boca Raton, CRC Press, 1996.], Studies in Advanced Mathematics. 216 S. Geb.
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ISBN: 9780849378737
ID: 9780849378737
Pseudodifferential Analysis on Symmetric Cones 1st Edition Author :Andre Unterberger 9780849378737 0849378737, [PU: CRC Press]
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Title: | Pseudodifferential Analysis on Symmetric Cones |
ISBN: | 0849378737 |
Details of the book - Pseudodifferential Analysis on Symmetric Cones
EAN (ISBN-13): 9780849378737
ISBN (ISBN-10): 0849378737
Hardcover
Publishing year: 1995
Publisher: CRC PR INC
224 Pages
Weight: 0,467 kg
Language: eng/Englisch
Book in our database since 29.06.2007 03:07:22
Book found last time on 02.11.2015 20:17:48
ISBN/EAN: 0849378737
ISBN - alternate spelling:
0-8493-7873-7, 978-0-8493-7873-7
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