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Record Nr. |
UNINA9910812751603321 |
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Autore |
Glöckner Helge <1969-> |
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Titolo |
Positive definite functions on infinite-dimensional convex cones / / Helge Glöckner |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2003 |
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ISBN |
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Descrizione fisica |
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1 online resource (150 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 789 |
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Disciplina |
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Soggetti |
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Harmonic analysis |
Convex bodies |
Representations of groups |
Laplace transformation |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 166, number 789 (second of 3 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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"" |
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