Last Updated
：2025/12/03
Tauberian theorem
Noun
Japanese Meaning
タウバーの定理：数学解析において、あるアーベルの定理に対応し、アーベル総和法にて条件で示される級数の収束が実際の収束を意味するための追加条件を規定する定理群。
（ plural ）
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(mathematical analysis) Any of a class of theorems which, for a given Abelian theorem, specifies conditions such that any series whose Abel sums converge (as stipulated by the Abelian theorem) is in fact convergent.
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Tauberian theorem
To resolve the convergence question, she invoked a Tauberian theorem that links Abel summability to ordinary convergence under specific regularity hypotheses.
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To resolve the convergence question, she invoked a Tauberian theorem that links Abel summability to ordinary convergence under specific regularity hypotheses.
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