Faltung hypersingulärer Integraloperatoren

DOI10.1007/BF01349253zbMath0412.46036OpenAlexW2912922043MaRDI QIDQ1260325

Norbert Ortner and Peter Wagner

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163366

zbMATH Keywords

integrable distributionconvolution of hypersingular integral kernels with distributionsEuclidean pseudo functionFourier exchange theoremRiesz Kernel

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral transforms in distribution spaces (46F12) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (5)

The \(S'\)-convolution with singular kernels in the Euclidean case and the product domain case ⋮ On some contributions of John Horváth to the theory of distributions ⋮ Analytic continuation and convolution of hypersingular higher Hilbert- Riesz kernels ⋮ Radon transforms on Grassmann manifolds ⋮ M. Riesz' kernels as boundary values of conjugate Poisson kernels

Cites Work

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• On certain singular integrals
• Regularisierte Faltung von Distributionen. Teil 1: Zur Berechnung von Fundamentallösungen
• Les potentiels d'energie finie
• Singular Integral Operators and Spherical Harmonics
• Composition of hypersingular integral operators
• Convolution and \(\mathcal S'\)-convolution of distributions

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