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Analysis in Integer and Fractional Dimensions by Ron C. Blei, R. C. Blei, Bela Bollobas

Analysis in Integer and Fractional Dimensions

by Ron C. Blei , R. C. Blei , Bela Bollobas
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Book cover type: Hardcover
  • ISBN13: 9780521650847
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 580
  • Original Price: USD 228.0
  • Language: English
  • Edition: N/A
  • Item Weight: 858 grams
  • BISAC Subject(s): Mathematical Analysis

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.

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