The Hilbert Transform of Generalized Functions and Applications

DOI10.4153/CJM-1983-026-7zbMath0505.46031MaRDI QIDQ4741026

Jagdish N. Pandey, M. Aslam Chaudhry

Publication date: 1983

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hilbert problemRiesz-Titchmarsh inversion formulaapproximate Hilbert transformDirichlet boundary value problem in the upper half plane with distributional boundary conditionsdistributional representation of analytic functionsHilbert transform of generalized functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (7)

On the Hilbert transform in the framework of generalized functions ⋮ Hilbert transformation of Beurling ultradistributions ⋮ Cauchy representation of distributions and applications to probability ⋮ The Hilbert transform of Schwartz distributions. II ⋮ A note about multi-Hilbert transform on \(\mathcal D(\mathbb R^n)\) ⋮ Generalized (n+1) dimensional dirichlet boundary value problem ⋮ Generalizedn-dimensional hilbert transform and applications

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