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Record Nr. |
UNINA9910455610203321 |
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Autore |
Heyer Herbert |
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Titolo |
Structural aspects in the theory of probability [[electronic resource] /] / by Herbert Heyer |
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Pubbl/distr/stampa |
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New Jersey, : World Scientific, 2009 |
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ISBN |
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1-282-76140-4 |
9786612761409 |
981-4282-49-9 |
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Edizione |
[2nd ed. /] |
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Descrizione fisica |
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1 online resource (425 p.) |
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Collana |
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Series on multivariate analysis ; ; v. 8 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Probabilities |
Topological groups |
Banach spaces |
Probability measures |
Abelian groups |
Electronic books. |
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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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Rev. ed. of: Structural aspects of probability theory. 2004. |
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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; Preface to the second enlarged edition; Preface; 1. Probability Measures on Metric Spaces; 1.1 Tight measures; 1.2 The topology of weak convergence; 1.3 The Prokhorov theorem; 1.4 Convolution of measures; 2. The Fourier Transform in a Banach Space; 2.1 Fourier transforms of probability measures; 2.2 Shift compact sets of probability measures; 2.3 Infinitely divisible and embeddable measures; 2.4 Gauss and Poisson measures; 3. The Structure of In nitely Divisible Probability Measures; 3.1 The Ito-Nisio theorem; 3.2 Fourier expansion and construction of Brownian motion |
3.3 Symmetric Levy measures and generalized Poisson measures3.4 The Levy-Khinchin decomposition; 4. Harmonic Analysis of Convolution Semigroups; 4.1 Convolution of Radon measures; 4.2 Duality of locally compact Abelian groups; 4.3 Positive definite functions; 4.4 Positive definite measures; 5. Negative Definite Functions and Convolution Semigroups; 5.1 Negative definite functions; 5.2 Convolution |
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