On some spaces of distributions
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A. Kamiński, S. Pilipović (1984)
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Krystyna Skórnik (1984)
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We present a new characterization of Lebesgue measurable functions; namely, a function f:[0,1]→ ℝ is measurable if and only if it is first-return recoverable almost everywhere. This result is established by demonstrating a connection between almost everywhere first-return recovery and a first-return process for yielding the integral of a measurable function.
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