Probability Measures on Locally Compact Groups

Probability Measures on Locally Compact Groups

Author: H. Heyer

Publisher: Springer Science & Business Media

ISBN: 9783642667060

Category: Mathematics

Page: 532

View: 606

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.

Probability Measures on Locally Compact Groups
Language: en
Pages: 532
Authors: H. Heyer
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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
Probability Measures on Locally Compact Groups
Language: de
Pages: 531
Authors: Herbert Heyer
Categories: Locally compact groups
Type: BOOK - Published: 1977 - Publisher:

Books about Probability Measures on Locally Compact Groups
Stable Probability Measures on Euclidean Spaces and on Locally Compact Groups
Language: en
Pages: 612
Authors: Wilfried Hazod, Eberhard Siebert
Categories: Mathematics
Type: BOOK - Published: 2001-09-30 - Publisher: Springer Science & Business Media

Generalising classical concepts of probability theory, the investigation of operator (semi)-stable laws as possible limit distributions of operator-normalized sums of i.i.d. random variable on finite-dimensional vector space started in 1969. Currently, this theory is still in progress and promises interesting applications. Parallel to this, similar stability concepts for probabilities on
Stable Probability Measures on Euclidean Spaces and on Locally Compact Groups
Language: en
Pages: 612
Authors: Wilfried Hazod, Eberhard Siebert
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

Generalising classical concepts of probability theory, the investigation of operator (semi)-stable laws as possible limit distributions of operator-normalized sums of i.i.d. random variable on finite-dimensional vector space started in 1969. Currently, this theory is still in progress and promises interesting applications. Parallel to this, similar stability concepts for probabilities on
Probability Measures on Groups X
Language: en
Pages: 498
Authors: H. Heyer
Categories: Mathematics
Type: BOOK - Published: 2013-11-11 - Publisher: Springer Science & Business Media

The present volume contains the transactions of the lOth Oberwolfach Conference on "Probability Measures on Groups". The series of these meetings inaugurated in 1970 by L. Schmetterer and the editor is devoted to an intensive exchange of ideas on a subject which developed from the relations between various topics of