Analysis in Integer and Fractional Dimensions (Cambridge Studies in Advanced Mathematics, Series Number 71) - Hardcover

Blei, Ron

Hardcover

ISBN 10: 0521650844 ISBN 13: 9780521650847

Publisher: Cambridge University Press, 2001

Synopsis

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.

About this title

Book 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. The book is primarily aimed at students with a basic background in graduate analysis. Also of interest to computer scientists, physicists, statisticians, biologists and economists.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2001
• Language: English
• ISBN 10: 0521650844
• ISBN 13: 9780521650847
• Binding: Hardcover
• Edition number: 1
• Number of pages: 580