Composition of hypersingular integral operators

DOI10.1080/00036817808839189zbMath0397.46042OpenAlexW2148957048WikidataQ58267869 ScholiaQ58267869MaRDI QIDQ4180793

Juan Horváth

Publication date: 1978

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036817808839189

zbMATH Keywords

ConvolutionDistributionCompositionAnalytic ContinuationDistribution-Valued Holomorphic FunctionsEuclidean PseudofunctionsHypersingular Integral Operators

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral operators (45P05) Distributions and ultradistributions as boundary values of analytic functions (46F20) Integral equations with kernels of Cauchy type (45E05) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (10)

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 ⋮ On the explicit calculation of fundamental solutions ⋮ Analytic continuation and convolution of hypersingular higher Hilbert- Riesz kernels ⋮ Improved Epstein-Glaser renormalization in \(x\)-space versus differential renormalization ⋮ Fractional vector analysis based on invariance requirements (critique of coordinate approaches) ⋮ On convolvability conditions for distributions ⋮ Faltung hypersingulärer Integraloperatoren ⋮ On Hypersingular Integrals and Anisotropic Bessel Potential Spaces ⋮ Zur Faltung von Distributionen. (On convolution of distributions)

Cites Work

• Imbedding theorems for spaces of hypersingular integrals and Bessel potentials
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• On Some Composition Formulas
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Composition of hypersingular integral operators