Positive definite functions on infinite-dimensional convex cones / / Helge Glöckner
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Glöckner Helge <1969->
|
| Titolo: |
Positive definite functions on infinite-dimensional convex cones / / Helge Glöckner
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2003 |
| Descrizione fisica: | 1 online resource (150 p.) |
| Disciplina: | 510 s |
| 515/.2433 | |
| Soggetto topico: | Harmonic analysis |
| Convex bodies | |
| Representations of groups | |
| Laplace transformation | |
| Note generali: | "Volume 166, number 789 (second of 3 numbers)." |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | ""Contents""; ""Introduction""; ""Part I. Preliminaries and Preparatory Results""; ""1 Bounded and unbounded operators""; ""2 Cone-valued measures""; ""3 Measures on topological spaces""; ""4 Projective limits of cone-valued measures""; ""5 Holomorphic functions""; ""6 Involutive semigroups and their representations""; ""7 Positive definite kernels and functions""; ""8 C*-algebras associated with involutive semigroups""; ""9 Integral representations of positive definite functions""; ""10 Convex cones and their faces""; ""11 Examples of convex cones"" |
| ""12 Conelike semigroups: definition and examples""""13 Representations of conelike semigroups I""; ""14 Fourier and Laplace transforms""; ""15 Generalized Bochner and Stone Theorems""; ""Part II. Main Results""; ""16 Nussbaum Theorem for open convex cones""; ""17 Positive definite functions on convex cones with non-empty interior""; ""18 Positive definite functions on convex sets""; ""19 Associated Hilbert spaces and representations""; ""20 Nussbaum Theorem for generating convex cones""; ""21 Representations of conelike semigroups II""; ""22 Associated unitary representations"" | |
| ""23 Holomorphic extension of unitary representations""""24 Holomorphic extension of representations of nuclear groups""; ""References""; ""Index""; ""List of Symbols"" | |
| Titolo autorizzato: | Positive definite functions on infinite-dimensional convex cones |
| ISBN: | 1-4704-0387-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910812751603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 789.