Onn-dimensional Hilbert transform of weighted distributions

DOI10.1080/10652460701754778zbMath1151.46027OpenAlexW2056880504MaRDI QIDQ3506275

Martha Guzmán-Partida

Publication date: 12 June 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460701754778

zbMATH Keywords

weighted distribution spaces\(\mathcal S^{\prime}\)-convolutionPoisson and Hilbert transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

• \(n\)-harmonic extensions of weighted integrable distributions
• Characterization of functions with Fourier transform supported on orthants
• The \(S'\)-convolution with singular kernels in the Euclidean case and the product domain case
• The n-Dimensional Hilbert Transform of Distributions, Its Inversion and Applications
• S'-convolvability with the Poisson kernel in the Euclidean case and the product domain case
• Harmonic extensions of distributions
• Unnamed Item

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