On the first-return integrals |
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Authors: | Benedetto Bongiorno |
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Institution: | Dipartimento di Matematica, Università di Palermo, Via Archirafi 34, 90123 Palermo, Italy |
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Abstract: | Some pathological properties of the first-return integrals are explored. In particular it is proved that there exist Riemann improper integrable functions which are first-return recoverable almost everywhere, but not first-return integrable, with respect to each trajectory. It is also proved that the usual convergence theorems fail to be true for the first-return integrals. |
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Keywords: | First-return integrals First-return recovery |
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