6533b7d7fe1ef96bd1267f72
RESEARCH PRODUCT
On the first return integrals
Benedetto Bongiornosubject
First-return integralSettore MAT/05 - Analisi MatematicaFirst-return recoverydescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-01-01 |