Quadrature identities and the schottky double
Quadrature identities and the schottky double
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正交恒等式和肖特基双
DOI：
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发表时间：
1983
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影响因子：
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通讯作者：
Björn Gustafsson
中科院分区：
文献类型：
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作者：
Björn Gustafsson
利用Riemann曲面理论，我们得到了关于解析函数的求积域和恒等式的结果，例如，多连通正交域的存在性，它们的代数边界的描述和与固定正交恒等式相关联的多个正交域的结果。其主要思想是用亚纯函数和黎曼曲面上的微分共形地等价于域的Schottky二重来刻画求积域。
By using Riemann surface theory we obtain results on quadrature domains and identities for analytic functions, e.g., existence of multiply-connected quadrature domains, descriptions of their algebraic boundaries and results on the multitude of quadrature domains associated to a fixed quadrature identity. The main idea is to characterize quadrature domains in terms of meromorphic functions and differentials on Riemann surfaces conformally equivalent to the Schottky doubles of the domains.