Last Updated
：2025/12/03
Bloch's theorem
Proper noun
Japanese Meaning
数学におけるブロッホの定理。正則関数の逆関数が存在する円盤の大きさに対して下限を与える定理となる。
Quizzes for review
(mathematics) A theorem that gives a lower bound on the size of a disc in which an inverse to a holomorphic function exists.
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Bloch's theorem
In complex analysis, Bloch's theorem guarantees the existence of a nontrivial disk on which a nonconstant holomorphic function admits a holomorphic inverse, a result that is essential for understanding local injectivity.
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In complex analysis, Bloch's theorem guarantees the existence of a nontrivial disk on which a nonconstant holomorphic function admits a holomorphic inverse, a result that is essential for understanding local injectivity.
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