analysis in integer and fractional dimensions cambridge studies in advanced mathematics

Download Book Analysis In Integer And Fractional Dimensions Cambridge Studies In Advanced Mathematics in PDF format. You can Read Online Analysis In Integer And Fractional Dimensions Cambridge Studies In Advanced Mathematics here in PDF, EPUB, Mobi or Docx formats.

Analysis In Integer And Fractional Dimensions

Author : Ron Blei
ISBN : 1139427938
Genre : Mathematics
File Size : 45. 93 MB
Format : PDF, ePub
Download : 473
Read : 451

Get This Book


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. The basic concepts of fractional Cartesian products and combinatorial dimension are introduced and linked to scales calibrated by harmonic-analytic and stochastic measurements. Topics include the (two-dimensional) Grothendieck inequality and its extensions to higher dimensions, stochastic models of Brownian motion, degrees of randomness and Frechet measures in stochastic analysis. This book is primarily aimed at graduate students specialising in harmonic analysis, functional analysis or probability theory. It contains many exercises and is suitable to be used as a textbook. It is also of interest to scientists from other disciplines, including computer scientists, physicists, statisticians, biologists and economists.

The Grothendieck Inequality Revisited

Author : Ron Blei
ISBN : 9780821898550
Genre : Mathematics
File Size : 83. 39 MB
Format : PDF, Kindle
Download : 994
Read : 212

Get This Book


The classical Grothendieck inequality is viewed as a statement about representations of functions of two variables over discrete domains by integrals of two-fold products of functions of one variable. An analogous statement is proved, concerning continuous functions of two variables over general topological domains. The main result is the construction of a continuous map $\Phi$ from $l^2(A)$ into $L^2(\Omega_A, \mathbb{P}_A)$, where $A$ is a set, $\Omega_A = \{-1,1\}^A$, and $\mathbb{P}_A$ is the uniform probability measure on $\Omega_A$.

Recent Trends In Orthogonal Polynomials And Approximation Theory

Author : Guillermo Lopez Lagomasino
ISBN : 9780821848036
Genre : Mathematics
File Size : 81. 95 MB
Format : PDF, Mobi
Download : 669
Read : 832

Get This Book


This volume contains invited lectures and selected contributions from the International Workshop on Orthogonal Polynomials and Approximation Theory, held at Universidad Carlos III de Madrid on September 8-12, 2008, and which honored Guillermo Lopez Lagomasino on his 60th birthday. This book presents the state of the art in the theory of Orthogonal Polynomials and Rational Approximation with a special emphasis on their applications in random matrices, integrable systems, and numerical quadrature. New results and methods are presented in the papers as well as a careful choice of open problems, which can foster interest in research in these mathematical areas. This volume also includes a brief account of the scientific contributions by Guillermo Lopez Lagomasino.

Normal Approximations With Malliavin Calculus

Author : Ivan Nourdin
ISBN : 9781107017771
Genre : Mathematics
File Size : 89. 3 MB
Format : PDF, Kindle
Download : 266
Read : 955

Get This Book


"

Higher Moments Of Banach Space Valued Random Variables

Author : Svante Janson
ISBN : 9781470414658
Genre : Banach spaces
File Size : 32. 30 MB
Format : PDF, Mobi
Download : 489
Read : 380

Get This Book


The authors define the :th moment of a Banach space valued random variable as the expectation of its :th tensor power; thus the moment (if it exists) is an element of a tensor power of the original Banach space. The authors study both the projective and injective tensor products, and their relation. Moreover, in order to be general and flexible, we study three different types of expectations: Bochner integrals, Pettis integrals and Dunford integrals.

Mathematical Reviews

Author :
ISBN : UOM:39015062317246
Genre : Mathematics
File Size : 54. 38 MB
Format : PDF, ePub
Download : 199
Read : 277

Get This Book



Forthcoming Books

Author : Rose Arny
ISBN : UOM:39015046820406
Genre : American literature
File Size : 85. 99 MB
Format : PDF, Mobi
Download : 982
Read : 1169

Get This Book



American Book Publishing Record

Author :
ISBN : STANFORD:36105111052903
Genre : Books
File Size : 24. 9 MB
Format : PDF, Docs
Download : 563
Read : 802

Get This Book



Fourier Analysis And Hausdorff Dimension

Author : Pertti Mattila
ISBN : 9781107107359
Genre : Mathematics
File Size : 76. 21 MB
Format : PDF, Kindle
Download : 202
Read : 1010

Get This Book


Modern text examining the interplay between measure theory and Fourier analysis.

Introduction To Foliations And Lie Groupoids

Author : I. Moerdijk
ISBN : 1139438980
Genre : Mathematics
File Size : 37. 31 MB
Format : PDF, ePub, Docs
Download : 769
Read : 249

Get This Book


This book gives a quick introduction to the theory of foliations, Lie groupoids and Lie algebroids. An important feature is the emphasis on the interplay between these concepts: Lie groupoids form an indispensable tool to study the transverse structure of foliations as well as their noncommutative geometry, while the theory of foliations has immediate applications to the Lie theory of groupoids and their infinitesimal algebroids. The book starts with a detailed presentation of the main classical theorems in the theory of foliations then proceeds to Molino's theory, Lie groupoids, constructing the holonomy groupoid of a foliation and finally Lie algebroids. Among other things, the authors discuss to what extent Lie's theory for Lie groups and Lie algebras holds in the more general context of groupoids and algebroids. Based on the authors' extensive teaching experience, this book contains numerous examples and exercises making it ideal for graduate students and their instructors.

Top Download:

Best Books