paper

Sur certains espaces de Hilbert de fonctions entieres, lies a la transformation de Fourier et aux fonctions L de Dirichlet et de Riemann

arXiv:math/0105120 · doi:10.1016/S0764-4442(01)02036-5

Abstract

We construct in a Sonine Space of entire functions a subspace related to the Riemann zeta function and we show that the quotient contains vectors intrinsically attached to the non-trivial zeros and their multiplicities.

10 pages. In french with an english summary