Hardy Martingales

Author : Paul F. X. Müller
Publisher : Cambridge University Press
ISBN 13 : 1108985963
Total Pages : pages
Book Rating : 4.63/5 ( download)

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Download or read book Hardy Martingales written by Paul F. X. Müller and published by Cambridge University Press. This book was released on 2022-07-14 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the probabilistic methods around Hardy martingales for an audience interested in their applications to complex, harmonic, and functional analysis. Building on work of Bourgain, Garling, Jones, Maurey, Pisier, and Varopoulos, it discusses in detail those martingale spaces that reflect characteristic qualities of complex analytic functions. Its particular themes are holomorphic random variables on Wiener space, and Hardy martingales on the infinite torus product, and numerous deep applications to the geometry and classification of complex Banach spaces, e.g., the SL∞ estimates for Doob's projection operator, the embedding of L1 into L1/H1, the isomorphic classification theorem for the polydisk algebras, or the real variables characterization of Banach spaces with the analytic Radon Nikodym property. Due to the inclusion of key background material on stochastic analysis and Banach space theory, it's suitable for a wide spectrum of researchers and graduate students working in classical and functional analysis.

Author : Gilles Pisier
Publisher : Cambridge University Press
ISBN 13 : 1316679462
Total Pages : 591 pages
Book Rating : 4.63/5 ( download)

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Download or read book Martingales in Banach Spaces written by Gilles Pisier and published by Cambridge University Press. This book was released on 2016-06-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Janos Galambos
Publisher : Springer Science & Business Media
ISBN 13 : 9780792319221
Total Pages : 382 pages
Book Rating : 4.22/5 ( download)

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Download or read book Probability Theory and Applications written by Janos Galambos and published by Springer Science & Business Media. This book was released on 1992-08-31 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Et moi, ..., si j'avait su comment en revenir, je One service mathematics bas rendered the human race. It bas put common sense back n'y serais point all .' where it belongs, on the topmost shelf next to lu1esVeme the dusty canister labelled 'discarded nonsense' Eric T. Bell 1be series is divergent; therefore we may be able to do something with it O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlineari- ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci- ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser- vice topology has rendered mathematical physics ... '; 'One service logic has rendered computer science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d 'etre of this series.

Author : Joji Kajiwara
Publisher : CRC Press
ISBN 13 : 1482270595
Total Pages : 656 pages
Book Rating : 4.94/5 ( download)

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Download or read book Finite or Infinite Dimensional Complex Analysis written by Joji Kajiwara and published by CRC Press. This book was released on 2019-05-07 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.

Author :
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4./5 ( download)

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Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1989-10 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Publisher : Cambridge University Press
ISBN 13 : 0521408504
Total Pages : 288 pages
Book Rating : 4.09/5 ( download)

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Download or read book Geometry of Banach Spaces written by and published by Cambridge University Press. This book was released on 1990 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Publisher : Elsevier
ISBN 13 : 0080533507
Total Pages : 873 pages
Book Rating : 4.06/5 ( download)

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Download or read book Handbook of the Geometry of Banach Spaces written by and published by Elsevier. This book was released on 2003-05-06 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of the Geometry of Banach Spaces

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Publisher :
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.25/5 ( download)

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Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1989 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ferenc Weisz
Publisher : Springer
ISBN 13 : 3540482954
Total Pages : 228 pages
Book Rating : 4.56/5 ( download)

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Download or read book Martingale Hardy Spaces and their Applications in Fourier Analysis written by Ferenc Weisz and published by Springer. This book was released on 2006-11-15 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the theory of one- and two-parameter martingale Hardy spaces and their use in Fourier analysis, and gives a summary of the latest results in this field. A method that can be applied for both one- and two-parameter cases, the so-called atomic decomposition method, is improved and provides a new and common construction of the theory of one- and two-parameter martingale Hardy spaces. A new proof of Carleson's convergence result using martingale methods for Fourier series is given with martingale methods. The book is accessible to readers familiar with the fundamentals of probability theory and analysis. It is intended for researchers and graduate students interested in martingale theory, Fourier analysis and in the relation between them.

Author :
Publisher :
ISBN 13 :
Total Pages : 434 pages
Book Rating : 4.17/5 ( download)

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Download or read book Probability and Mathematical Statistics written by and published by . This book was released on 1998 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: