The Generalized Abel Equations for Schwartz Distributions

DOI10.1137/0511056zbMath0444.45007OpenAlexW2069589371MaRDI QIDQ3887939

Marion Orton

Publication date: 1980

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0511056

zbMATH Keywords

Schwartz distributionsHilbert boundary problemRiesz operatorinversion formulaeRiemann-Liouville and Weyl fractional integralsgeneralized Abel equationsAbel's inversioninversions of fractional integrals

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fractional derivatives and integrals (26A33) Integral operators (45P05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (1)

On the theory of generalized Abel integral equations on the half-line

This page was built for publication: The Generalized Abel Equations for Schwartz Distributions