戴道清,林伟.具有超解析Cauchy核的奇异积分方程[J].数学研究及应用,1990,10(4):517~521 |
具有超解析Cauchy核的奇异积分方程 |
On Singular Integral Equation with Hype ranalytic Cauchy Kernel |
投稿时间:1987-12-09 |
DOI:10.3770/j.issn:1000-341X.1990.04.009 |
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英文关键词: |
基金项目:国家自然科学基金和中山大学高等学术研究中心资助项目. |
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中文摘要: |
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英文摘要: |
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. |
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