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Positive definite functions on infinite-dimensional convex cones /
Part I. Preliminaries and Preparatory Results: Bounded and unbounded operators Cone-valued measures Measures on topological spaces Projective limits of cone-valued measures Holomorphic functions Involutive semigroups and their representations Positive definite kernels and functions $\boldmath{C^*}$-...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2003.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 789. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 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.