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.

Show description

Read Online or Download Analysis in Integer and Fractional Dimensions (Cambridge Studies in Advanced Mathematics) PDF

Similar functional analysis books

Operator Theory and Numerical Methods (Studies in - download pdf or read online

In keeping with the advancements in computation, theoretical reviews on numerical schemes at the moment are fruitful and hugely wanted. In 1991 a piece of writing at the finite aspect approach utilized to evolutionary difficulties used to be released. Following the tactic, essentially this publication stories a number of schemes from operator theoretical issues of view.

Read e-book online Extremal Problems in Interpolation Theory, PDF

During this publication we propose a unified approach to developing near-minimizers for yes vital functionals coming up in approximation, harmonic research and ill-posed difficulties and most generally utilized in interpolation thought. The structures are in response to far-reaching refinements of the classical Calderón–Zygmund decomposition.

Download e-book for kindle: Analysis, Partial Differential Equations and Applications: by Alberto Cialdea,Flavia Lanzara,Paolo Emilio Ricci

This quantity contains numerous invited lectures given on the foreign Workshop "Analysis, Partial Differential Equations and Applications", held on the Mathematical division of Sapienza college of Rome, at the social gathering of the seventieth birthday of Vladimir G. Maz'ya, a well known mathematician and one of many major specialists within the box of natural and utilized research.

Get Lebesgue and Sobolev Spaces with Variable Exponents (Lecture PDF

The sector of variable exponent functionality areas has witnessed an explosive progress in recent times. the traditional reference article for simple homes is already two decades previous. hence this self-contained monograph accumulating all of the simple houses of variable exponent Lebesgue and Sobolev areas is well timed and gives a much-needed available reference paintings using constant notation and terminology.

Additional resources for Analysis in Integer and Fractional Dimensions (Cambridge Studies in Advanced Mathematics)

Example text

Download PDF sample

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

by Edward

Rated 4.14 of 5 – based on 6 votes