Structural Aspects in the Theory ...(V8)
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Book Overview The book is conceived as a text accompanying the traditional graduate courses on probability theory. An important feature of this enlarge...
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 Sturm-Liouville hypergroups, and on the central limit problem for groups such as tori, p-adic groups and solenoids.
Book Details Format: Hardcover | Pages: 412 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9814282480
FormatHardcover
Pages412
LanguageEnglish
ISBN9814282480
EAN9789814282482
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
Edition2
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.65 Pounds
Length9.0 Inches
Width6.2 Inches
Height1.1 Inches
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