Positive definite functions on infinite-dimensional convex cones / / Helge Glöckner
| Positive definite functions on infinite-dimensional convex cones / / Helge Glöckner |
| Autore | Glöckner Helge <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina |
510 s
515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Harmonic analysis
Convex bodies Representations of groups Laplace transformation |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0387-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480873003321 |
Glöckner Helge <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2003 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Positive definite functions on infinite-dimensional convex cones / / Helge Glöckner
| Positive definite functions on infinite-dimensional convex cones / / Helge Glöckner |
| Autore | Glöckner Helge <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina |
510 s
515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Harmonic analysis
Convex bodies Representations of groups Laplace transformation |
| ISBN | 1-4704-0387-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788850603321 |
Glöckner Helge <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2003 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Positive definite functions on infinite-dimensional convex cones / / Helge Glöckner
| Positive definite functions on infinite-dimensional convex cones / / Helge Glöckner |
| Autore | Glöckner Helge <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina |
510 s
515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Harmonic analysis
Convex bodies Representations of groups Laplace transformation |
| ISBN | 1-4704-0387-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910812751603321 |
Glöckner Helge <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2003 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||