Martingale Theory in Harmonic Analysis and Banach Spaces PDF Download

Author: J.-A. Chao
Publisher: Springer
ISBN: 354039284X
Category : Mathematics
Languages : en
Pages : 238

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Author: J. A. Chao
Publisher:
ISBN: 9783662207741
Category :
Languages : en
Pages : 240

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Author:
Publisher:
ISBN: 9780387115696
Category :
Languages : en
Pages : 0

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Author: Tuomas Hytönen
Publisher: Springer
ISBN: 9783319839615
Category : Mathematics
Languages : en
Pages : 614

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Book Description
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.

Author: Gilles Pisier
Publisher: Cambridge University Press
ISBN: 1107137241
Category : Mathematics
Languages : en
Pages : 591

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This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

Author: Gilles Pisier
Publisher: Cambridge University Press
ISBN: 1316679462
Category : Mathematics
Languages : en
Pages : 591

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Book Description
This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has natural connections with quantum physics and quantum information theory. Requiring few prerequisites and providing fully detailed proofs for the main results, this self-contained study is accessible to graduate students with a basic knowledge of real and complex analysis and functional analysis. Chapters can be read independently, with each building from the introductory notes, and the diversity of topics included also means this book can serve as the basis for a variety of graduate courses.

Author: R. C. Blei
Publisher: Springer
ISBN: 3540400362
Category : Mathematics
Languages : en
Pages : 183

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Author: Tuomas Hytönen
Publisher: Springer
ISBN: 3319485202
Category : Mathematics
Languages : en
Pages : 628

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Book Description
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.

Author: Minde Cheng
Publisher: Springer Science & Business Media
ISBN: 9401101418
Category : Mathematics
Languages : en
Pages : 320

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Book Description
Harmonic Analysis in China is a collection of surveys and research papers written by distinguished Chinese mathematicians from within the People's Republic of China and expatriates. The book covers topics in analytic function spaces of several complex variables, integral transforms, harmonic analysis on classical Lie groups and manifolds, LP- estimates of the Cauchy-Riemann equations and wavelet transforms. The reader will also be able to trace the great influence of the late Professor Loo-keng Hua's ideas and methods on research into harmonic analysis on classical domains and the theory of functions of several complex variables. Western scientists will thus become acquainted with the unique features and future trends of harmonic analysis in China. Audience: Analysts, as well as engineers and physicists who use harmonic analysis.

Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category : Federal aid to research
Languages : en
Pages : 258

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