A new convolution theorem for the Stieltjes transform and its application to a class of singular integral equations

DOI10.1007/BF01196634zbMath0813.44006OpenAlexW2063818423MaRDI QIDQ1345849

Publication date: 28 May 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196634

zbMATH Keywords

Stieltjes transform singular integral equations convolution theorem Riemann-Hilbert boundary value problem

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Boundary value problems in the complex plane (30E25) Integral equations with kernels of Cauchy type (45E05)

Related Items (13)

The linear canonical Hankel type transformations associated with translation and convolution ⋮ Theorems connecting Stieltjes transform and Hankel transform ⋮ On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms ⋮ Generalized convolutions and the integral equations of the convolution type ⋮ On the iterated Stieltjes transform and its convolution with applications to singular integral equations ⋮ Integral operators on Sobolev-Lebesgue spaces ⋮ On the generalized convolution with a weight function for the Fourier sine and cosine transforms ⋮ Toeplitz plus Hankel integral equation ⋮ Integral transforms related to a generalized convolution ⋮ The Markov–Stieltjes transform on Hardy and Lebesgue spaces ⋮ On the polyconvolution for Hartley, Fourier cosine and Fourier sine transforms ⋮ On the generalized Hurwitz-Lerch zeta function and generalized Lambert transform ⋮ Convolution for the mehler–fock transform of generalized functions

Cites Work

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