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Anglický jazyk
Structural Aspects in the Theory of Probability
Autor: Herbert Heyer
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... Viac o knihe
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O knihe
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.
- Vydavateľstvo: World Scientific
- Rok vydania: 2009
- Formát: Hardback
- Rozmer: 235 x 157 mm
- Jazyk: Anglický jazyk
- ISBN: 9789814282482
