Probability Measures on Locally Compact Groups by H Heyer

Probability Measures on Locally Compact Groups by H Heyer

Probability measures on algebraic-topological structures such as topological semi- groups, groups, and vector spaces have become of increasing importance in recent years for probabilists interested in the structural aspects of the theory as well as for analysts aiming at applications within the scope of probability theory. In order to obtain a natural framework for a first systematic presentation of the most developed part of the work done in the field we restrict ourselves to prob- ability measures on locally compact groups. At the same time we stress the non- Abelian aspect. Thus the book is concerned with a set of problems which can be regarded either from the probabilistic or from the harmonic-analytic point of view. In fact, it seems to be the synthesis of these two viewpoints, the initial inspiration coming from probability and the refined techniques from harmonic analysis which made this newly established subject so fascinating. The goal of the presentation is to give a fairly complete treatment of the central limit problem for probability measures on a locally compact group. In analogy to the classical theory the discussion is centered around the infinitely divisible probability measures on the group and their relationship to the convergence of infinitesimal triangular systems.

SKU	Unavailable
ISBN 13	9783642667084
ISBN 10	3642667082
Title	Probability Measures on Locally Compact Groups
Author	H Heyer
Series	Ergebnisse Der Mathematik Und Ihrer Grenzgebiete 2 Folge
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer
Year published	2011-12-14
Number of pages	532
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.