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{ "item_title" : "Structural Aspects in the Theory ...(V8)", "item_author" : [" Heyer Herbert "], "item_description" : "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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/9/81/428/248/9814282480_b.jpg", "price_data" : { "retail_price" : "153.00", "online_price" : "153.00", "our_price" : "153.00", "club_price" : "153.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Structural Aspects in the Theory ...(V8)|Heyer Herbert

Structural Aspects in the Theory ...(V8)

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Overview

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.

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Details

  • ISBN-13: 9789814282482
  • ISBN-10: 9814282480
  • Publisher: World Scientific Publishing Company
  • Publish Date: September 2009
  • Dimensions: 9 x 6.2 x 1.1 inches
  • Shipping Weight: 1.65 pounds
  • Page Count: 424

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