Analysis in Integer and Fractional Dimensions (Hardcover)

Ron Blei

ISBN 10: 0521650844 / ISBN 13: 9780521650847

Verlag: Cambridge University Press, Cambridge, 2001

Hardcover. 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 basic concepts of fractional Cartesian products and combinatorial dimension are introduced and linked to scales calibrated by harmonic-analytic and stochastic measurements. Topics include the (two-dimensional) Grothendieck inequality and its extensions to higher dimensions, stochastic models of Brownian motion, degrees of randomness and Frechet measures in stochastic analysis. This book is primarily aimed at graduate students specialising in harmonic analysis, functional analysis or probability theory. It contains many exercises and is suitable to be used as a textbook. It is also of interest to scientists from other disciplines, including computer scientists, physicists, statisticians, biologists and economists. This book provides a study of interdependence and complexity in settings of functional analysis, harmonic analysis and stochastic analysis. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Bestandsnummer des Verkäufers 9780521650847

Inhaltsangabe:

Thorough and self-contained study for graduate students and researchers.

Bibliografische Details

Titel: Analysis in Integer and Fractional ...
Verlag: Cambridge University Press, Cambridge
Erscheinungsdatum: 2001
Einband: Hardcover
Zustand: new
Auflage: 1. Auflage