Structural Aspects in the Theory of Probability (2nd Enlarged Edition) (Hardcover) (ISBN-13: 9789814282482)

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.

Author: Herbert Heyer
ISBN-10: 9814282480
ISBN-13: 9789814282482
Publisher: World Scientific Publishing Company
Language: English
Published: 09/04/2009
Pages: 424
Format: Hardcover
Weight: 1.65lbs
Size: 9.00h x 6.20w x 1.10d

Review Citation(s):
Scitech Book News 12/01/2009 pg. 36