Matrix Convolution Operators on Groups (Lecture Notes in Mathematics) - Couverture souple

Livre 6 sur 20: Lecture Notes in Mathematics

Chu, Cho-Ho

 
9783540697978: Matrix Convolution Operators on Groups (Lecture Notes in Mathematics)
Couverture souple
ISBN 10 : 3540697977 ISBN 13 : 9783540697978
Editeur : Springer, 2008

Synopsis

In the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications. This monograph presents some new developments in the spectral theory of these operators. The setting is the Lp spaces of matrix-valued functions on locally compact groups. The focus is on the spectra and eigenspaces of convolution operators on these spaces, defined by matrix-valued measures. Among various spectral results, the L2-spectrum of such an operator is completely determined and as an application, the spectrum of a discrete Laplacian on a homogeneous graph is computed using this result. The contractivity properties of matrix convolution semigroups are studied and applications to harmonic functions on Lie groups and Riemannian symmetric spaces are discussed. An interesting feature is the presence of Jordan algebraic structures in matrix-harmonic functions.

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

Présentation de l'éditeur

In the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications. This monograph presents some new developments in the spectral theory of these operators. The setting is the Lp spaces of matrix-valued functions on locally compact groups. The focus is on the spectra and eigenspaces of convolution operators on these spaces, defined by matrix-valued measures. Among various spectral results, the L2-spectrum of such an operator is completely determined and as an application, the spectrum of a discrete Laplacian on a homogeneous graph is computed using this result. The contractivity properties of matrix convolution semigroups are studied and applications to harmonic functions on Lie groups and Riemannian symmetric spaces are discussed. An interesting feature is the presence of Jordan algebraic structures in matrix-harmonic functions.

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

Éditeur
Springer
Date d'édition
2008
Langue
anglais
ISBN 10 
3540697977
ISBN 13 
9783540697978
Reliure
Broché
Nombre de pages
128
Coordonnées du fabricant
ProductSafety@springernature.com
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783540865926: Matrix Convolution Operators on Groups

Edition présentée

ISBN 10 :  3540865926 ISBN 13 :  9783540865926
Couverture souple