Matrix Convolution Operators on Groups [[electronic resource] /] / by Cho-Ho Chu
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| Autore: |
Chu Cho-Ho
|
| Titolo: |
Matrix Convolution Operators on Groups [[electronic resource] /] / by Cho-Ho Chu
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 |
| Edizione: | 1st ed. 2008. |
| Descrizione fisica: | 1 online resource (IX, 114 p.) |
| Disciplina: | 512.2 |
| Soggetto topico: | Functions of complex variables |
| Differential geometry | |
| Functional analysis | |
| Operator theory | |
| Harmonic analysis | |
| Nonassociative rings | |
| Rings (Algebra) | |
| Functions of a Complex Variable | |
| Differential Geometry | |
| Functional Analysis | |
| Operator Theory | |
| Abstract Harmonic Analysis | |
| Non-associative Rings and Algebras | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Lebesgue Spaces of Matrix Functions -- Matrix Convolution Operators -- Convolution Semigroups. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Matrix Convolution Operators on Groups |
| ISBN: | 3-540-69798-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910483261703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434