Last Updated：2025/11/26

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(mathematical analysis) A function whose domain is a σ-algebra, whose codomain is the set of complex numbers, and which is countably additive.

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complex measure

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Source Word

complex measure

Noun

Japanese Meaning

σ-代数を定義域とし、複素数全体を値域とした、可算加法性を持つ関数（すなわち、複素数値測度）

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To integrate a bounded measurable function with respect to a complex measure, we treat the measure as a pair of finite signed measures corresponding to its real and imaginary parts.

Google Translation / DeepL Translation

有界可測関数を複素測度に関して積分するには、その測度を実部と虚部に対応する二つの有限符号付測度の組として扱います。

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complex measures

（ plural ）

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complex measure

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