Interpolating and Sampling Sequences for Entire Functions
نویسنده
چکیده
We characterise interpolating and sampling sequences for the spaces of entire functions f such that fe ∈ L(C), p ≥ 1 (and some related weighted classes), where φ is a subharmonic weight whose Laplacian is a doubling measure. The results are expressed in terms of some densities adapted to the metric induced by ∆φ. They generalise previous results by Seip for the case φ(z) = |z|2, and by Berndtsson & Ortega-Cerdà and Ortega-Cerdà & Seip for the case when ∆φ is bounded above and below.
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