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Analysis in Integer and Fractional Dimensions (Cambridge by Ron Blei PDF

By Ron Blei

ISBN-10: 0521650844

ISBN-13: 9780521650847

This ebook presents a radical and self-contained examine of interdependence and complexity in settings of practical research, harmonic research and stochastic research. It makes a speciality of 'dimension' as a simple counter of levels of freedom, resulting in distinctive family among combinatorial measurements and diverse indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck. the elemental techniques of fractional Cartesian items and combinatorial measurement are brought and associated with scales calibrated by means of harmonic-analytic and stochastic measurements. themes contain the (two-dimensional) Grothendieck inequality and its extensions to better dimensions, stochastic types of Brownian movement, levels of randomness and Frechet measures in stochastic research. This ebook is basically geared toward graduate scholars specialising in harmonic research, sensible research or likelihood concept. It includes many routines and is acceptable for use as a textbook. it's also of curiosity to scientists from different disciplines, together with desktop 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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