Analysis in Integer and Fractional Dimensions

R. C. Blei Ron C. Blei

ISBN 10: 0521650844 / ISBN 13: 9780521650847

Edité par Cambridge University Press CUP, 2001

A propos de cet article

pp. 580.

N° de réf. du vendeur 26489785

Détails bibliographiques

• Titre: Analysis in Integer and Fractional Dimensions
• Éditeur: Cambridge University Press CUP
• Date de parution: 2001
• Langue: anglais
• ISBN à 10 chiffres: 0521650844
• ISBN à 13 chiffres: 9780521650847
• Reliure: Couverture rigide
• État de l'article: New

A propos de ce titre

Synopsis

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

Présentation de l'éditeur

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.