Matrix Convolution Operators on Groups
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....
Sparad:
| Huvudupphovsman: | |
|---|---|
| Materialtyp: | Livre numérique |
| Språk: | Anglais |
| Publicerad: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Upplaga: | 1st ed. 2008. |
| Serie: | Lecture Notes in Mathematics
|
| Ämnen: | |
| Länkar: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmärkning: |
L'impression du document génère 117 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Matrix convolution operators on groups, Cho-Ho Chu, Berlin, Springer, 2008, 1 vol. (IX-108 p.), Lecture notes in mathematics, 978-3-540-69797-8 • Matrix Convolution Operators on Groups, Texte imprimé, 9783540865926 • Matrix convolution operators on groups, Cho-Ho Chu, Berlin, Springer, 2008, 1 vol. (IX-108 p.), Lecture notes in mathematics, 978-3-540-69797-8 |
| Sammanfattning: | 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. |
|---|---|
| Beskrivning: | L'impression du document génère 117 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografi: | Bibliogr. Index |
| ISBN: | 9783540697985 |
| ISSN: | 1617-9692 |
| Tillgång: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |