Remarks on the first return integral

Risultato della ricerca: Other contribution

Abstract

Some pathological properties of the first-return integrals are explored.In particular it is proved that there exist Riemann improperintegrable functions which are first-return recoverable almosteverywhere, but not first-return integrable, with respect to eachtrajectory. It is also proved that the usual convergence theoremsfail to be true for the first-return integrals.
Lingua originaleEnglish
Stato di pubblicazionePublished - 2007

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