Analysis in Integer and Fractional Dimensions (Cambridge Studies in Advanced Mathematics, Series Number 71) - Hardcover
Book 19 of 151: Cambridge Studies in Advanced Mathematics
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.
"synopsis" may belong to another edition of 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.
"About this title" may belong to another edition of this title.
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Analysis in Integer and Fractional Dimensions
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ISBN 13: 9780521650847
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Analysis in Integer and Fractional Dimensions
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Analysis in Integer and Fractional Dimensions (Cambridge Studies in Advanced Mathematics, 71)
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Analysis in Integer and Fractional Dimensions (Hardcover)
Published by
Cambridge University Press, Cambridge, 2001
ISBN 10: 0521650844
ISBN 13: 9780521650847
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Hardcover. Condition: new. 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 multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521650847
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Analysis in Integer and Fractional Dimensions
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ISBN 13: 9780521650847
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Analysis in Integer and Fractional Dimensions
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Analysis in Integer and Fractional Dimensions (Cambridge Studies in Advanced Mathematics, Series Number 71)
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ISBN 13: 9780521650847
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Analysis in Integer and Fractional Dimensions
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Analysis in Integer and Fractional Dimensions
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