Continuity and inversion of the Hilbert transform of distributions

DOI10.1016/0022-247X(91)90375-AzbMath0759.46037MaRDI QIDQ1190334

Christiane Carton-Lebrun

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

convolutionHilbert transforminversion formulapartition of unityprincipal value

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A real variable definition of the hilbert transform on d' and s'
• Hilbert Transforms, Plemelj Relations, and Fourier Transforms of Distributions

This page was built for publication: Continuity and inversion of the Hilbert transform of distributions