Structural Aspects In The Theory Of Probability (2Nd Enlarged Edition): 8 (Series On Multivariate Analysis) - Hardcover

HEYER HERBERT

 
9789814282482: Structural Aspects In The Theory Of Probability (2Nd Enlarged Edition): 8 (Series On Multivariate Analysis)
Hardcover
ISBN 10: 9814282480 ISBN 13: 9789814282482
Publisher: World Scientific Publishing, 2009

Synopsis

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 SturmLiouville hypergroups, and on the central limit problem for groups such as tori, p-adic groups and solenoids.

"synopsis" may belong to another edition of this title.

From the Back Cover

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 SturmLiouville hypergroups, and on the central limit problem for groups such as tori, p-adic groups and solenoids.

"About this title" may belong to another edition of this title.

Publisher
World Scientific Publishing
Publication date
2009
Language
English
ISBN 10 
9814282480
ISBN 13 
9789814282482
Binding
Hardcover
Edition number
2
Number of pages
424