New convolution theorem for the Stieltjes transform and its application to a class of singular integral equations
Date
2010-04-20T20:53:29Z
Authors
Srivastava, H.M.
Vu, Kim Tuan
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Abstract
A 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.
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Keywords
convolution theorem, Stieltjes transform, singular integral equations, Riemann-Hilbert boundary value problem, Fourier transform, Laplace transform, Mellin transform, convolution integral equations, convolution transforms, Cauchy principal integrals, Lipschitz condition, transcendental equation, classical inversion theorem