Martingale Hardy Spaces and their Applications in Fourier Analysis [electronic resource] /
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.
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Format: | Texto biblioteca |
Language: | eng |
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Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1994
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Subjects: | Mathematics., Mathematical analysis., Analysis (Mathematics)., Probabilities., Probability Theory and Stochastic Processes., Analysis., |
Online Access: | http://dx.doi.org/10.1007/BFb0073448 |
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KOHA-OAI-TEST:2022942018-07-30T23:30:10ZMartingale Hardy Spaces and their Applications in Fourier Analysis [electronic resource] / Weisz, Ferenc. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1994.engThis 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.Preliminaries and notations -- One-parameter Martingale Hardy spaces -- Two-Parameter Martingale Hardy spaces -- Tree martingales -- Real interpolation -- Inequalities for Vilenkin-fourier coefficients.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.Mathematics.Mathematical analysis.Analysis (Mathematics).Probabilities.Mathematics.Probability Theory and Stochastic Processes.Analysis.Springer eBookshttp://dx.doi.org/10.1007/BFb0073448URN:ISBN:9783540482956 |
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Mathematics. Mathematical analysis. Analysis (Mathematics). Probabilities. Mathematics. Probability Theory and Stochastic Processes. Analysis. Mathematics. Mathematical analysis. Analysis (Mathematics). Probabilities. Mathematics. Probability Theory and Stochastic Processes. Analysis. |
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Mathematics. Mathematical analysis. Analysis (Mathematics). Probabilities. Mathematics. Probability Theory and Stochastic Processes. Analysis. Mathematics. Mathematical analysis. Analysis (Mathematics). Probabilities. Mathematics. Probability Theory and Stochastic Processes. Analysis. Weisz, Ferenc. author. SpringerLink (Online service) Martingale Hardy Spaces and their Applications in Fourier Analysis [electronic resource] / |
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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. |
format |
Texto |
topic_facet |
Mathematics. Mathematical analysis. Analysis (Mathematics). Probabilities. Mathematics. Probability Theory and Stochastic Processes. Analysis. |
author |
Weisz, Ferenc. author. SpringerLink (Online service) |
author_facet |
Weisz, Ferenc. author. SpringerLink (Online service) |
author_sort |
Weisz, Ferenc. author. |
title |
Martingale Hardy Spaces and their Applications in Fourier Analysis [electronic resource] / |
title_short |
Martingale Hardy Spaces and their Applications in Fourier Analysis [electronic resource] / |
title_full |
Martingale Hardy Spaces and their Applications in Fourier Analysis [electronic resource] / |
title_fullStr |
Martingale Hardy Spaces and their Applications in Fourier Analysis [electronic resource] / |
title_full_unstemmed |
Martingale Hardy Spaces and their Applications in Fourier Analysis [electronic resource] / |
title_sort |
martingale hardy spaces and their applications in fourier analysis [electronic resource] / |
publisher |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, |
publishDate |
1994 |
url |
http://dx.doi.org/10.1007/BFb0073448 |
work_keys_str_mv |
AT weiszferencauthor martingalehardyspacesandtheirapplicationsinfourieranalysiselectronicresource AT springerlinkonlineservice martingalehardyspacesandtheirapplicationsinfourieranalysiselectronicresource |
_version_ |
1756267681264173056 |