Structural Aspects in the Theory of Probability - Couverture rigide

Heyer, Herbert

 
9789814282482: Structural Aspects in the Theory of Probability
Couverture rigide
ISBN 10 : 9814282480 ISBN 13 : 9789814282482
Editeur : World Scientific Publishing Co Pte Ltd, 2009

Synopsis

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 powerful 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 SturmLiouville hypergroups, and on the central limit problem for groups such as tori, p-adic groups and solenoids.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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 powerful 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 SturmLiouville hypergroups, and on the central limit problem for groups such as tori, p-adic groups and solenoids.

Revue de presse

This is an attractive book. --Short Book Reviews

This book is well organized and very readable. The list of frequently used symbols and the index are useful. It is made as self-contained and simple as is possible and reasonable. --Mathematical Reviews

This is a well-written, practically self-contained (and suitable for courses) account of the Lévy-Khinchin representation of infinitely divisible measures and convolution semigroups in two settings. --Zentralblatt MATH

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2009
Langue
anglais
ISBN 10 
9814282480
ISBN 13 
9789814282482
Reliure
Relié
Numéro d'édition
2
Nombre de pages
424
Coordonnées du fabricant
World Scientific Publishing
https://www.worldscientific.com/

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