Srivastava, H.M.Vu, Kim Tuan2010-04-202010-04-2019912010-04-20http://hdl.handle.net/1828/2623A 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 equationsconvolution transformsCauchy principal integralsLipschitz conditiontranscendental equationclassical inversion theoremTechnical Report