Ortega Cerdà, JoaquimSeip, Kristian2020-06-052020-06-051999-03-100022-1236https://hdl.handle.net/2445/164425We characterize the interpolating sequences for the Bernstein space of entire functions of exponential type, in terms of a Beurling-type density condition and a Carleson-type separation condition. Our work extends a description previously given by Beurling in the case that the interpolating sequences are restricted to the real line. An essential role is played by a multiplier lemma, which permits us to link techniques from Hardy spaces with entire functions of exponential type. We finally present a characterization of the sampling sequences for the Bernstein space, also extending a density theorem of Beurling.16 p.application/pdfeng(c) Elsevier, 1999Funcions de variables complexesFuncions enteresFunctions of complex variablesEntire functionsMultipliers for entire functions and an interpolation problem of Beurlinginfo:eu-repo/semantics/article1487122020-06-05info:eu-repo/semantics/openAccess