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Bounded variation in the mean |
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| Authors: | Pamela B Pierce Daniel Waterman |
| Institution: | Department of Mathematical Sciences, The College of Wooster, Wooster, Ohio 44691 ; Department of Mathematics, Syracuse University, Syracuse, New York 13244 - Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431 |
| 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. |
| Keywords: | Bounded variation Fourier series |
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