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Identity theorem for Riemann surfaces : ウィキペディア英語版 | Identity theorem for Riemann surfaces In mathematics, the identity theorem for Riemann surfaces is a theorem that states that a holomorphic function is completely determined by its values on any subset of its domain that has a limit point. ==Statement of the theorem== Let and be Riemann surfaces, let X be connected, and let be holomorphic. Suppose that for some subset that has a limit point, where denotes the restriction of to . Then (on the whole of ).
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Identity theorem for Riemann surfaces」の詳細全文を読む
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