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Structural Aspects in the Theory of Probability by Herbert Heyer (2009, Hardcover)
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About this product
Product Identifiers
PublisherWorld Industries Scientific Publishing Co Pte LTD
ISBN-109814282480
ISBN-139789814282482
eBay Product ID (ePID)73830178
Product Key Features
Number of Pages424 Pages
LanguageEnglish
Publication NameStructural Aspects in the Theory of Probability
SubjectGroup Theory, Functional Analysis, Probability & Statistics / General, Topology, Geometry / Algebraic
Publication Year2009
TypeTextbook
Subject AreaMathematics
AuthorHerbert Heyer
FormatHardcover
Dimensions
Item Weight0 Oz
Additional Product Features
Edition Number2
LCCN2009-021970
Dewey Edition22
Volume NumberVol. 8
Dewey Decimal519.2
SynopsisThe 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., 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.
LC Classification NumberQA273.43.H53 2009
