The \(S'\)-convolution with singular kernels in the Euclidean case and the product domain case

DOI10.1016/S0022-247X(02)00078-1zbMath1013.46029MaRDI QIDQ1614699

Martha Guzmán-Partida, Josefina Alvarez Alonso

Publication date: 8 September 2002

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

zbMATH Keywords

singular convolution kernelsweighted spaces of distributions\(S'\)-convolution

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10)

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Onn-dimensional Hilbert transform of weighted distributions, Regularization methods for phase retrieval and phase contrast tomography

Cites Work

• Estimates for the kernel and continuity properties of pseudo-differential operators
• Singular integrals on product spaces
• Faltung hypersingulärer Integraloperatoren
• On the existence of certain singular integrals
• Composition of hypersingular integral operators
• Convolution and \(\mathcal S'\)-convolution of distributions
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