Research Catalog

Title

Structural aspects in the theory of probability / Herbert Heyer ; with an additional chapeter by Gyula Pap.

Author

Heyer, Herbert

Publication

Singapore ; Hackensack, NJ : World Scientific, c2010.

Items in the Library & Off-site

Holdings

Details

Additional Authors

Pap, Gyula.

Description

xii, 412 p. : ill.; 24 cm.

Summary

"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 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."--Jacket.

Series Statement

Series on multivariate analysis ; v. 8

Uniform Title

Series on multivariate analysis v. 8.

Subject

• Probabilities
• Topological groups
• Banach spaces
• Probability measures
• Abelian groups
• Probability

Note

• Rev. ed. of: Structural aspects of probability theory. 2004.

Bibliography (note)

• Includes bibliographical references (p. 389-395) and index.

Processing Action (note)

• committed to retain

ISBN

• 9789814282482 (hardcover : alk. paper)
• 9814282480 (hardcover : alk. paper)

LCCN

^^2009021970

OCLC

• 373474750
• SCSB-9911825

Owning Institutions

Harvard Library