Wydawnictwa / Czasopisma IMPAN / Bulletin Polish Acad. Sci. Math. / Wszystkie zeszyty

Almost Everywhere First-Return Recovery

Tom 52 / 2004

Bulletin Polish Acad. Sci. Math. 52 (2004), 185-195 MSC: Primary 28A20, 26A42. DOI: 10.4064/ba52-2-9

Streszczenie

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.

Autorzy

• Michael J. EvansDepartment of Mathematics
Washington and Lee University
Lexington, VA 24450, U.S.A.
e-mail
• Paul D. HumkeDepartment of Mathematics
St. Olaf College
Northfield, MN 45701, U.S.A.
e-mail

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