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Download e-book for iPad: Analysis in Integer and Fractional Dimensions (Cambridge by Ron Blei

By Ron Blei

This publication presents a radical and self-contained research of interdependence and complexity in settings of useful research, harmonic research and stochastic research. It specializes in 'dimension' as a simple counter of levels of freedom, resulting in specific family among combinatorial measurements and diverse indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck. the fundamental thoughts of fractional Cartesian items and combinatorial size are brought and associated with scales calibrated via harmonic-analytic and stochastic measurements. issues comprise the (two-dimensional) Grothendieck inequality and its extensions to raised dimensions, stochastic versions of Brownian movement, levels of randomness and Frechet measures in stochastic research. This ebook is essentially aimed toward graduate scholars specialising in harmonic research, useful research or likelihood idea. It comprises many workouts and is acceptable for use as a textbook. it's also of curiosity to scientists from different disciplines, together with machine 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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