Inversion of potentials in \(R^ n\) by means of Gauss-Weierstrass integrals

DOI10.1007/BF01159524zbMath0643.31010OpenAlexW1979886935MaRDI QIDQ1101851

Boris Rubin

Publication date: 1987

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01159524

zbMATH Keywords

Riesz potentialMarchaud derivation

Mathematics Subject Classification ID

Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (9)

Fractional integrals and weakly singular integral equations of the first kind in the \(n\)-dimensional ball ⋮ Hypersingular Integrals of Marchaud Type and the Inversion Problem for Potentials ⋮ On the rate of $L_p$-convergence of Balakrishnan--Rubin-type hypersingular integrals associated to the Gauss-Weierstrass semigroup ⋮ A Balakrishnan-Rubin type hypersingular integral operator and inversion of Flett potentials ⋮ Riesz potential on the Heisenberg group ⋮ On a rate of convergence of truncated hypersingular integrals associated to Riesz and Bessel potentials ⋮ Characterization of the variable exponent Bessel potential spaces via the Poisson semigroup ⋮ The convergence rate of truncated hypersingular integrals generated by the modified Poisson semigroup ⋮ The Rate of Convergence of Truncated Hypersingular Integrals Generated by the Generalized Poisson Semigroup

Cites Work

• Automorphic systems of scalar fields
• Temperatures, Riesz Potentials, and the Lipschitz Spaces of Herz
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