| On Singular Integral Equation with Hype ranalytic Cauchy Kernel |
| Received:December 09, 1987 |
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| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1990.04.009 |
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