Probability in Banach Spaces
Stable and Infinitely Divisible Distributions
Published on 5. November 1986
Book
Hardback
196 pages
978-0-471-90893-7 (ISBN)
Description
This book is devoted to the study of stable measures on Banach spaces. The first part presents the classical approach via infinitely divisible measures (the Levy-Khinchin representation) and establishes some general properties of stable measures, such as Levy's spectral representation and the tail behaviour of stable measures. The second part is devoted to a comparatively new functional analytic approach, and an investigation is made of operators T from E' to Lp which generate p-stable symmetric measures on the Banach space E.
More details
Edition
Licensed ed.
Language
English
Place of publication
Chichester
United Kingdom
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
bibliography, index
Dimensions
Height: 230 mm
Width: 150 mm
Weight
760 gr
ISBN-13
978-0-471-90893-7 (9780471908937)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Content
Preface; Basic Notations; Weak Convergence of Radon Measures; Convolution and Weak Topology; Banach Spaces and Operators; Cylindrical Measures; Infinitely Divisible Measures on Banach Spaces; Stable Measures on Banach Spaces; Operators and Stable Symmetric Measures; Estimates Between Stable Symmetric Measures; Bibliography; Index of Symbols; Index of Subjects.