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发表于2024-07-07

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出版者:World Scientific Publishing Company

作者:Herbert Heyer

出品人:

页数:424

译者:

出版时间:2009-9-22

价格:USD 125.00

装帧:Hardcover

isbn号码:9789814282482

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Structural Aspects in the Theory of Probability 2024 pdf epub mobi 电子书图书描述

The book is conceived as a text accompanying the traditional graduate courses on probability theory. An important feature of this enlarged version is the emphasis on algebraic-topological aspects leading to a wider and deeper understanding of basic theorems such as those on the structure of continuous convolution semigroups and the corresponding processes with independent increments. Fourier transformation - the method applied within the settings of Banach spaces, locally compact Abelian groups and commutative hypergroups - is given an in-depth discussion. This powerful analytic tool along with the relevant facts of harmonic analysis make it possible to study certain properties of stochastic processes in dependence of the algebraic-topological structure of their state spaces. In extension of the first edition, the new edition contains chapters on the probability theory of generalized convolution structures such as polynomial and Sturm-Liouville hypergroups, and on the central limit problem for groups such as tori, p-adic groups and solenoids.

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