Get Analysis in Integer and Fractional Dimensions (Cambridge PDF

By Ron Blei

ISBN-10: 0521650844

ISBN-13: 9780521650847

This booklet presents a radical and self-contained examine of interdependence and complexity in settings of sensible research, harmonic research and stochastic research. It specializes in 'dimension' as a uncomplicated counter of levels of freedom, resulting in specific relatives among combinatorial measurements and numerous indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck. the elemental options of fractional Cartesian items and combinatorial size are brought and associated with scales calibrated through harmonic-analytic and stochastic measurements. subject matters contain the (two-dimensional) Grothendieck inequality and its extensions to better dimensions, stochastic versions of Brownian movement, levels of randomness and Frechet measures in stochastic research. This ebook is essentially geared toward graduate scholars specialising in harmonic research, sensible research or likelihood thought. It comprises many routines and is appropriate for use as a textbook. it's also of curiosity to scientists from different disciplines, together with computing device scientists, physicists, statisticians, biologists and economists.

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Analysis in Integer and Fractional Dimensions (Cambridge Studies in Advanced Mathematics) by Ron Blei


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