Srivastava, H.M.Tuan, Vu Kim2010-05-182010-05-1819932010-05-18http://hdl.handle.net/1828/2779A 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.enconvolution theoremStieltjes transformsingular integral equationsRiemann-Hilbert boundary value problemFourier transformLaplace transformMellin transformconvolution integral equationsCauchy principal valuesHolder inequalityHilbert transformbounded operatorRiesz inequalityLebesgue theoremStieltjes convolutiontranscendental equationclassical inversion theoremtechnical reports (mathematics and statistics)New convolution theorem for the Stieltjes transform and its application to a class of singular integral equationsTechnical ReportDepartment of Mathematics and Statistics