Geodesic
Almost Everywhere First-Return Recovery
Michael J. Evans 1   ; Paul D. Humke 2
1 Department of Mathematics Washington and Lee University Lexington, VA 24450, U.S.A.
2 Department of Mathematics St. Olaf College Northfield, MN 45701, U.S.A.
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 185-195 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We present a new characterization of Lebesgue measurable functions; namely, a function $f:[0,1]\to {\Bbb R}$ 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.
DOI : 10.4064/ba52-2-9
Keywords: present characterization lebesgue measurable functions namely function bbb measurable only first return recoverable almost everywhere result established demonstrating connection between almost everywhere first return recovery first return process yielding integral measurable function

Michael J. Evans  1   ; Paul D. Humke  2

1 Department of Mathematics Washington and Lee University Lexington, VA 24450, U.S.A.
2 Department of Mathematics St. Olaf College Northfield, MN 45701, U.S.A. 
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Michael J. Evans; Paul D. Humke. Almost Everywhere First-Return Recovery. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 185-195. doi: 10.4064/ba52-2-9

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