A note about multi-Hilbert transform on \(\mathcal D(\mathbb R^n)\)

DOI10.1007/s10255-018-0761-yzbMath1391.42019OpenAlexW2800662214MaRDI QIDQ1753362

Ming-quan Wei, Feng Shen, Yan, Dunyan

Publication date: 29 May 2018

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-018-0761-y

zbMATH Keywords

compact supportextended multi-Hilbert transformnew distribution space \(\mathcal D'_H(\mathbb R^n)\)

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Cites Work

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• Double Hilbert transform on \(\mathcal{D}(\mathbb R^2)\)
• A distribution space for Hilbert transform and its applications
• The Hilbert Transform of Schwartz Distributions
• The Hilbert transform of Schwartz distributions. II
• The Hilbert Transform of Generalized Functions and Applications
• Some Remarks on Analytic Representations and Products of Distributions
• Hilbert Transforms, Plemelj Relations, and Fourier Transforms of Distributions

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