Displaying similar documents to “On a problem of R. C. Baker”

Almost Everywhere First-Return Recovery

Michael J. Evans, Paul D. Humke (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

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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.