Cover of Analysis in Integer and Fractional Dimensions by Blei, Ron C., Blei, R. C., Bollobas, Bela, ISBN 9780521650847
Functional Analysis

Analysis in Integer and Fractional Dimensions

ANALYSIS IN INTEGER & FRACTION

Contributor(s): Author , Author , Editor Format: Hardback

Hardback · ISBN 9780521650847

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Key Specifications

ISBN 9780521650847
Subtitle ANALYSIS IN INTEGER & FRACTION
Publisher Cambridge University Press
Publication date July 2001
Language English
MRP £173.00 GBP
Page count 580
Item weight 224 g

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.