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Summability of Multi-Dimensional Fourier Series and Hardy Spaces
Language: en
Pages: 340
Authors: Ferenc Weisz
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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The history of martingale theory goes back to the early fifties when Doob [57] pointed out the connection between martingales and analytic functions. On the bas
Convergence and Summability of Fourier Transforms and Hardy Spaces
Language: en
Pages: 446
Authors: Ferenc Weisz
Categories: Mathematics
Type: BOOK - Published: 2017-12-27 - Publisher: Birkhäuser

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This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces.
Lebesgue Points and Summability of Higher Dimensional Fourier Series
Language: en
Pages: 299
Authors: Ferenc Weisz
Categories: Mathematics
Type: BOOK - Published: 2021-06-12 - Publisher: Springer Nature

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This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro sum
Tbilisi Analysis and PDE Seminar
Language: en
Pages: 213
Authors: Roland Duduchava
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Type: BOOK - Published: - Publisher: Springer Nature

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Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
Language: en
Pages: 633
Authors: Lars-Erik Persson
Categories: Mathematics
Type: BOOK - Published: 2022-11-22 - Publisher: Springer Nature

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This book discusses, develops and applies the theory of Vilenkin-Fourier series connected to modern harmonic analysis. The classical theory of Fourier series de