Structural Aspects In The Theory Of Probability (2nd Enlarged Edition)

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.

Book Details

• Author: Heyer Herbert
• Publisher: World Scientific
• eBook ISBN: 9789814282499, 9814282499
• Print ISBN: 9789814282482, 9814282480