Bounded variation in the mean
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- by Pamela B. Pierce and Daniel Waterman PDF
- Proc. Amer. Math. Soc. 128 (2000), 2593-2596 Request permission
Abstract:
It is shown that the concept of bounded variation in the mean is not a meaningful generalization of ordinary bounded variation. In fact, it is a characterization of functions which differ from functions of bounded variation on a zero set.References
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- Daniel Waterman, A generalization of the Salem test, Proc. Amer. Math. Soc. 105 (1989), no. 1, 129–133. MR 929413, DOI 10.1090/S0002-9939-1989-0929413-1
Additional Information
- Pamela B. Pierce
- Affiliation: Department of Mathematical Sciences, The College of Wooster, Wooster, Ohio 44691
- ORCID: 0000-0002-7495-2990
- Email: ppierce@acs.wooster.edu
- Daniel Waterman
- Affiliation: Department of Mathematics, Syracuse University, Syracuse, New York 13244; Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431
- Address at time of publication: 7739 Majestic Palm Dr., Boynton Beach, Florida 33437
- Email: fourier@earthlink.net
- Received by editor(s): October 7, 1998
- Published electronically: February 21, 2000
- Communicated by: Christopher D. Sogge
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2593-2596
- MSC (1991): Primary 26A45, 42A16, 42A20
- DOI: https://doi.org/10.1090/S0002-9939-00-05391-0
- MathSciNet review: 1670415