ENGLISH

Analysis in Integer and Fractional Dimensions

By Ron Blei

Book information

Publisher
Cambridge University Press
Year
2001
ISBN
9780521650847, 0521650844, 0511012667
Language
english
Format
PDF
Filesize
11 MB (11377251 bytes)
Series
Cambridge Studies in Advanced Mathematics 71
Edition
1
Pages
577\577
Time added
2010-10-13 10:14:08
Математика;Функциональный анализ

Description

This book provides a thorough and self-contained study of interdependence and complexity in settings of functional analysis, harmonic analysis and stochastic analysis. It focuses on "dimension" as a basic counter of degrees of freedom, leading to precise relations between combinatorial measurements and various indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck. Topics include the (two-dimensional) Grothendieck inequality and its extensions to higher dimensions, stochastic models of Brownian motion, degrees of randomness and Fréchet measures in stochastic analysis. This book is primarily aimed at graduate students specializing in harmonic analysis, functional analysis or probability theory. It contains many exercises and is suitable as a textbook. It is also of interest to computer scientists, physicists, statisticians, biologists and economists.

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