# name
Multipliers for entire functions and an interpolation problem of Beurling

# metadata.dc.description.abstract[].value
We 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.

# metadata.dc.relation.ispartof[].value
Journal of Functional Analysis, 1999, vol. 162, num. 2, p. 400-415

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Multipliers for entire functions and an interpolation problem of Beurling