Analysis in Integer and Fractional Dimensions (Cambridge Studies in Advanced Mathematics)
Ron Blei · 2001
Where to buy
Amazon’s price changes daily, so the most accurate place to see it is there, at the moment you buy.
View on AmazonThis is an affiliate link: if you buy through it, the site earns a small commission at no extra cost to you, which helps us bring quality content and maintain the site. As an Amazon Associate we earn from qualifying purchases.
About the book
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.
Book details
- Year
- 2001
- Language
- English
- Publisher
- Cambridge University Press
- Editions
- 1
- Pages
- 576
- ISBN
- 9780521650847
Data source: Wikidata