Analysis in integer and fractional dimensions

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 mea...

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Bibliographic Details
Main Author: Blei, R. C.
Format: Book
Language:Undetermined
Published: Cambridge,New York Cambridge University Press 2001
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Institutions: Trung tâm Học liệu Trường Đại học Cần Thơ
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Summary: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.