单词 | Montel's Theorem |
释义 | Montel's TheoremLet be an analytic function of , regular in the half-strip defined by and . If isbounded in and tends to a limit as for a certain fixed value of between and , then tends to this limit on every line in , and uniformly for . See also Vitali's Convergence Theorem
Titchmarsh, E. C. The Theory of Functions, 2nd ed. Oxford, England: Oxford University Press, p. 170, 1960. |
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