| Analysis in Integer and Fractional Dimensions Contributor(s): Blei, Ron (Author) |
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ISBN: 0521650844 ISBN-13: 9780521650847 Publisher: Cambridge University Press OUR PRICE: $194.75 Product Type: Hardcover - Other Formats Published: July 2001 Annotation: 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 Frechet 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Functional Analysis - Mathematics | Infinity |
| Dewey: 515.243 |
| LCCN: 00064229 |
| Series: Cambridge Studies in Advanced Mathematics (Hardcover) |
| Physical Information: 1.3" H x 6.4" W x 9.28" (1.89 lbs) 580 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. 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. |