Abstract
Some pathological properties of the first-return integrals are explored. In particular it is proved that thereexist Riemann improper integrable functions which are first-return recoverable almost everywhere, but notfirst-return integrable, with respect to each trajectory. It is also proved that the usual convergence theoremsfail to be true for the first-return integrals.
Lingua originale | English |
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pagine (da-a) | 112-116 |
Numero di pagine | 4 |
Rivista | Journal of Mathematical Analysis and Applications |
Volume | 333 |
Stato di pubblicazione | Published - 2007 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics