Combinatorial theory of the free product with amalgamation and operator-valued free probability theory / / Roland Speicher
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| Autore: |
Speicher Roland <1960->
|
| Titolo: |
Combinatorial theory of the free product with amalgamation and operator-valued free probability theory / / Roland Speicher
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| ©1998 | |
| Descrizione fisica: | 1 online resource (105 p.) |
| Disciplina: | 510 s |
| 512/.55 | |
| Soggetto topico: | Operator-valued functions |
| Selfadjoint operators | |
| Free products (Group theory) | |
| Combinatorial analysis | |
| Free probability theory | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | "March 1998, volume 132, number 627 (third of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Introduction""; ""Chapter I. Preliminaries on non-crossing partitions""; ""1.1. Non-crossing partitions""; ""1.2. Incidence algebra and convolution""; ""1.3. Multiplicative functions""; ""Chapter II. Operator-valued multiplicative functions on the lattice of non-crossing partitions""; ""2.1. Operator-valued multiplicative functions""; ""2.2. Connection between f and f â??C""; ""2.3. Special case I = I(C,C)""; ""2.4. Tracial multiplicative functions""; ""2.5. Product and cluster property""; ""Chapter III. Amalgamated free products""; ""3.1. Basic notations"" |
| ""3.2. Moment and cumulant functions""""3.3. Definition of the amalgamated free product""; ""3.4. Explicit formula for α[sub(1)] â??α[sub(2)]""; ""3.5. Positivity of the amalgamated free product""; ""Chapter IV. Operator-valued free probability theory""; ""4.1. B-valued random variables and free convolution""; ""4.2. B-Gaussian distributions and central limit theorem""; ""4.3. Positivity of B-Gaussian distributions""; ""4.4. Compound B-Poisson distributions""; ""4.5. Infinitely divisible distributions""; ""4.6. Full Fock space over a Hilbert-B-bimodule"" | |
| ""4.7. Realization of infinitely divisible distributions on a full Fock space""""Chapter V. Operator-valued stochastic processes and stochastic differential equations""; ""5.1. B-valued stochastic processes""; ""5.2. Formulation of the problem""; ""5.3. Possible solutions of the problem""; ""5.4. Gaussian approximation""; ""Bibliography"" | |
| Titolo autorizzato: | Combinatorial theory of the free product with amalgamation and operator-valued free probability theory |
| ISBN: | 1-4704-0216-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910481047503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 627.