Structural Aspects in the Theory ...(V8)
Overview
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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Details
- ISBN-13: 9789814282482
- ISBN-10: 9814282480
- Publisher: World Scientific Publishing Company
- Publish Date: September 2009
- Dimensions: 9 x 6.2 x 1.1 inches
- Shipping Weight: 1.65 pounds
- Page Count: 424
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