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Table of contents (4 chapters)
Keywords
About this book
The purpose of this book is to describe the structure of limit laws and the limit behaviour of normalized i.i.d. random variables on groups and on finite-dimensional vector spaces from a common point of view. This will also shed a new light on the classical situation. Chapter 1 provides an introduction to stability problems on vector spaces. Chapter II is concerned with parallel investigations for homogeneous groups and in Chapter III the situation beyond homogeneous Lie groups is treated. Throughout, emphasis is laid on the description of features common to the group- and vector space situation.
Chapter I can be understood by graduate students with some background knowledge in infinite divisibility. Readers of Chapters II and III are assumed to be familiar with basic techniques from probability theory on locally compact groups.
Reviews
Jahresbericht der Deutschen Mathematiker-Vereinigung, 105:2 (2003)
Authors and Affiliations
Bibliographic Information
Book Title: Stable Probability Measures on Euclidean Spaces and on Locally Compact Groups
Book Subtitle: Structural Properties and Limit Theorems
Authors: Wilfried Hazod, Eberhard Siebert
Series Title: Mathematics and Its Applications
DOI: https://doi.org/10.1007/978-94-017-3061-7
Publisher: Springer Dordrecht
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 2001
Hardcover ISBN: 978-1-4020-0040-9Published: 30 September 2001
Softcover ISBN: 978-90-481-5832-4Published: 15 December 2010
eBook ISBN: 978-94-017-3061-7Published: 14 March 2013
Edition Number: 1
Number of Pages: XVII, 612
Topics: Probability Theory and Stochastic Processes, Topological Groups, Lie Groups, Abstract Harmonic Analysis, Measure and Integration, Functional Analysis