The Hilbert Transform of Schwartz Distributions

DOI10.2307/2045069zbMath0526.46043OpenAlexW4256238657MaRDI QIDQ3041779

Jagdish N. Pandey

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2045069

zbMATH Keywords

singular integral equationsHilbert transform of Schwartz distributions

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (6)

Hilbert transformation of Beurling ultradistributions ⋮ A few remarks about the Hilbert transform ⋮ On the Hilbert transform of bounded bandlimited signals ⋮ The Hilbert transform of Schwartz distributions. II ⋮ A note about multi-Hilbert transform on \(\mathcal D(\mathbb R^n)\) ⋮ A distribution space for Hilbert transform and its applications

Cites Work

• Distributional boundary value theorems and Hilbert transforms
• Hilbert Transforms, Plemelj Relations, and Fourier Transforms of Distributions
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