Several Complex Variables Of A Class Of Linear Singular Integral Equation

Using the "quadrangle" method, the author extends the definition of the Cauchy principal value on the boundary of the domain budded by complex hihals. Using this new definition the author studies the boundary behavior of Cauchy type integral on the domain builded by complex biballs and obtains a more general Plemelj formula:which possesses discrete local holomorphic kernels and involves a solid angle coefficient:at the point t D furthermore the author obtains the composite formula. Finally, the author applies these formulas to study the linear singular integral equations proves that they are equivalent to the Fredholm equations. and its characteristic equation has an unique integral operator solution in L...