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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
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.
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
Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko
Language: en
Pages: 663
Authors: Yinqin Li
Categories: Mathematics
Type: BOOK - Published: 2023-02-14 - Publisher: Springer Nature

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The real-variable theory of function spaces has always been at the core of harmonic analysis. In particular, the real-variable theory of the Hardy space is a fu
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