Abstract : We consider Davenport-like series with coe cients in l2 and discuss L2-convergence as well as almost-everywhere convergence. We give an example where both fail to hold. We next improve former su cient conditions under which these convergences are true.
https://hal-upec-upem.archives-ouvertes.fr/hal-00794135
Contributor : Julien Brémont <>
Submitted on : Monday, February 25, 2013 - 10:45:01 AM Last modification on : Thursday, March 19, 2020 - 12:26:02 PM Long-term archiving on: : Sunday, April 2, 2017 - 4:54:19 AM
Julien Brémont. Davenport series and almost-sure convergence. Quarterly Journal of Mathematics, Oxford University Press (OUP), 2011, 62 (1), pp.825-843. ⟨hal-00794135⟩