Anno 2013 Autori De Micheli Enrico; Viano Giovanni Alberto Abstract In this paper we consider a class of functions $f(z)$ ($z\in\C$) meromorphic in the half-plane $\Real z >= 1/2$, holomorphic in $0 < \Real z < 1/2$, continuous on $\Real z = 0$, and satisfying a suitable Carlson-type asymptotic growth condition. First we prove that position and residue of the poles of $f(z)$ can be obtained from the samples of $f(z)$ taken at the positive half-integers. In particular, the positions of the poles are shown to be the roots of an algebraic equation. Then we give an interpolation formula for $f(x+1/2)$ ($x=\Real z$) that incorporates the information on the poles (i.e., position and residue) and which is proved to converge to the true function uniformly on $x >= x_0>-1/2$ as the number of samples tends to infinity and the error on the samples goes to zero. An illustrative numerical example of interpolation of a Runge-type function is also given. Rivista Journal Of Approximation Theory ISSN Impact factor Volume 168 Pagina inizio 33 Pagina fine 68 Autori IBF Enrico DE MICHELI Linee di Ricerca IBF MD.P01.004.001 Sedi IBF IBF.GE