Probability Measures on Locally Compact Groups: 94 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge) - Softcover

Heyer, H.

 
9783642667084: Probability Measures on Locally Compact Groups: 94 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)
Softcover
ISBN 10: 3642667082 ISBN 13: 9783642667084
Verlag: Springer, 2011

Inhaltsangabe

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.

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Reseña del editor

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.

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Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
3642667082
ISBN 13 
9783642667084
Einband
Tapa blanda
Anzahl der Seiten
548
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
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9783540083320: Probability Measures on Locally Compact Groups: 94 (Ergebnisse der Mathematik und Ihrer Grenzgebiete. 2. Folge)

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