[過去ﾛｸﾞ] 純粋・応用数学・数学隣接分野（含むガロア理論）18 (1002ﾚｽ)
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583: 現代数学の系譜 雑談 ◆yH25M02vWFhP 08/04(日)08:43 ID:oj4WjR/C(3/17) AAS
>>582
(引用開始)
Smooth curve
Proofs in the smooth case depend on finding a diffeomorphism between the interior/exterior of the curve and the closed unit disk (or its complement in the extended plane). This can be solved for example by using the smooth Riemann mapping theorem, for which a number of direct methods are available, for example through the Dirichlet problem on the curve or Bergman kernels.[10]
(引用終り)

あら、こんなところに Bergman kernelが
面白いね

(参考)
外部ﾘﾝｸ:en.wikipedia.org
In the mathematical study of several complex variables, the Bergman kernel, named after Stefan Bergman, is the reproducing kernel for the Hilbert space (RKHS) of all square integrable holomorphic functions on a domain D in Cn.
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