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

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorTuan, Vu Kim
dc.date.accessioned2010-05-18T22:12:42Z
dc.date.available2010-05-18T22:12:42Z
dc.date.copyright1993en
dc.date.issued2010-05-18T22:12:42Z
dc.description.abstractA new convolution theorem is proved for the Stieltjes transform and is then applied in solving a certain class of singular integral equations which are related rather closely to the Riemann-Hilbert boundary value problem. Some further extensions and consequences of the convolution theorem are also considered.en
dc.description.sponsorshipNSERC Grant OGP0007353, the Vietnam National Basic Research Program in Natural sciences, and the Alexander von Humbold Foundation.en
dc.identifier.urihttp://hdl.handle.net/1828/2779
dc.language.isoenen
dc.relation.ispartofseriesDMS-648-IRen
dc.subjectconvolution theorem
dc.subjectStieltjes transform
dc.subjectsingular integral equations
dc.subjectRiemann-Hilbert boundary value problem
dc.subjectFourier transform
dc.subjectLaplace transform
dc.subjectMellin transform
dc.subjectconvolution integral equations
dc.subjectCauchy principal values
dc.subjectHolder inequality
dc.subjectHilbert transform
dc.subjectbounded operator
dc.subjectRiesz inequality
dc.subjectLebesgue theorem
dc.subjectStieltjes convolution
dc.subjecttranscendental equation
dc.subjectclassical inversion theorem
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleNew convolution theorem for the Stieltjes transform and its application to a class of singular integral equationsen
dc.typeTechnical Reporten

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