Structural Aspects In The Theory Of Probability (Second Enlarged Edition)

Language: English

Published by World Scientific Publishing Co Pte Ltd, SG, 2009

9814282480 / 9789814282482

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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.

Seller Inventory # LU-9789814282482

Title
Structural Aspects In The Theory Of Probability (Second Enlarged Edition)
Author
Herbert Heyer
Publisher
World Scientific Publishing Co Pte Ltd, SG
Publication year
2009
Condition
New
Binding
Hardback
Language
English
ISBN 10
9814282480
ISBN 13
9789814282482
Edition
2nd enlarged ed.
Dimensions
15.24 x 2.39 x 22.86 cm

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