Structural Aspects In The Theory Of Probability: A Primer In Probabilities On Algebraic - Topological Structures
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A01=Herbert Heyer
Author_Herbert Heyer
Banach Space
Category=PBG
Category=PBT
Convolution
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Metric Space
Probability Theory
Semigroup
Product details
- ISBN 9789812389374
- Publication Date: 26 Aug 2004
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This book focuses on the algebraic-topological aspects of probability theory, 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. The method applied within the setting of Banach spaces and of locally compact Abelian groups is that of the Fourier transform. This analytic tool along with the relevant parts of harmonic analysis makes it possible to study certain properties of stochastic processes in dependence of the algebraic-topological structure of their state spaces. Graduate students, lecturers and researchers may use the book as a primer in the theory of probability measures on groups and related structures.This book has been selected for coverage in:• CC / Physical, Chemical & Earth Sciences• Index to Scientific Book Contents® (ISBC)
