On Singular Integral Equation with Hype ranalytic Cauchy Kernel

Abstract:

      We investigate the solvability and the solving methods of singular integral equation with hyperanalytic Cauchy kernel(?) where α,k are hypercomplex functions in the sense of A. Douglis, φ is the unknown function. We prove that the equation Kφ=f , under certain conditions, is Noetherian. And a direct method to solve Kφ = f whenα and k are the boun dary values of hyperanalytic functions is given.