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[null,"1.","Record Nr.",null,"UNINA9910481047503321"]
[null,null,"Autore",null,"Speicher Roland <1960->"]
[null,null,"Titolo",null,"Combinatorial theory of the free product with amalgamation and operator-valued free probability theory / / Roland Speicher"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [1998]"]
[{"$nulls":4},"©1998"]
[null,null,"ISBN",null,"1-4704-0216-5"]
[null,null,"Descrizione fisica",null,"1 online resource (105 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 627"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"512/.55"]
[null,null,"Soggetti",null,"Operator-valued functions"]
[{"$nulls":4},"Selfadjoint operators"]
[{"$nulls":4},"Free products (Group theory)"]
[{"$nulls":4},"Combinatorial analysis"]
[{"$nulls":4},"Free probability theory"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"March 1998, volume 132, number 627 (third of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Introduction\"\"; \"\"Chapter I. Preliminaries on non-crossing partitions\"\"; \"\"1.1. Non-crossing partitions\"\"; \"\"1.2. Incidence algebra and convolution\"\"; \"\"1.3. Multiplicative functions\"\"; \"\"Chapter II. Operator-valued multiplicative functions on the lattice of non-crossing partitions\"\"; \"\"2.1. Operator-valued multiplicative functions\"\"; \"\"2.2. Connection between f and f â??C\"\"; \"\"2.3. Special case I = I(C,C)\"\"; \"\"2.4. Tracial multiplicative functions\"\"; \"\"2.5. Product and cluster property\"\"; \"\"Chapter III. Amalgamated free products\"\"; \"\"3.1. Basic notations\"\""]
[{"$nulls":4},"\"\"3.2. Moment and cumulant functions\"\"\"\"3.3. Definition of the amalgamated free product\"\"; \"\"3.4. Explicit formula for Î±[sub(1)] â??Î±[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\"\""]
[{"$nulls":4},"\"\"4.7. Realization of infinitely divisible distributions on a full Fock space\"\"\"\"Chapter V. Operator-valued stochastic processes and "]
[{"$nulls":4},"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\"\""]