Clifford Algebras in Analysis and Related Topics - Couverture rigide

Livre 16 sur 23: Studies in advanced Mathematics
 
9780849384813: Clifford Algebras in Analysis and Related Topics
Couverture rigide
ISBN 10 : 0849384818 ISBN 13 : 9780849384813
Editeur : CRC Press, 2019

Synopsis

This new book contains the most up-to-date and focused description of the applications of Clifford algebras in analysis, particularly classical harmonic analysis. It is the first single volume devoted to applications of Clifford analysis to other aspects of analysis.
All chapters are written by world authorities in the area. Of particular interest is the contribution of Professor Alan McIntosh. He gives a detailed account of the links between Clifford algebras, monogenic and harmonic functions and the correspondence between monogenic functions and holomorphic functions of several complex variables under Fourier transforms. He describes the correspondence between algebras of singular integrals on Lipschitz surfaces and functional calculi of Dirac operators on these surfaces. He also discusses links with boundary value problems over Lipschitz domains.
Other specific topics include Hardy spaces and compensated compactness in Euclidean space; applications to acoustic scattering and Galerkin estimates; scattering theory for orthogonal wavelets; applications of the conformal group and Vahalen matrices; Newmann type problems for the Dirac operator; plus much, much more!
Clifford Algebras in Analysis and Related Topics also contains the most comprehensive section on open problems available. The book presents the most detailed link between Clifford analysis and classical harmonic analysis. It is a refreshing break from the many expensive and lengthy volumes currently found on the subject.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Ryan, John

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
CRC Press
Date d'édition
2019
Langue
anglais
ISBN 10 
0849384818
ISBN 13 
9780849384813
Reliure
Relié
Nombre de pages
366
Éditeur
Ryan John
Coordonnées du fabricant
CRC Press
https://www.routledge-ny.com

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Autres éditions populaires du même titre

9780367448844: Clifford Algebras in Analysis and Related Topics

Edition présentée

ISBN 10 :  036744884X ISBN 13 :  9780367448844
Editeur : Routledge, 2019
Couverture souple