The Method of Solutions for some Kinds of Singular Integral Equations of Convolution Type with Both Reflection and Translation Shift

摘要

In this paper, some kinds of singular integral equations of convolution type with reflection and translation shift are discussed and they are turned into Riemann boundary value problems with both discontinuous coefficients and reflection by using the Fourier trans-form. In spite of the classical method for solution, we are to give another method, therefore the general solution and condition of solvability are obtained in class{0}.