Interpolating and sampling sequences for entire functions

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dc.creatorMarco, Nicolas
dc.creatorMassaneda, Xavier
dc.creatorOrtega-Cerdà, Joaquim
dc.date2002-05-23
dc.date.accessioned2026-07-07T06:33:49Z
dc.date.available2026-07-07T06:33:49Z
dc.descriptionWe characterise interpolating and sampling sequences for the spaces of entire functions f such that f e^{-phi} belongs to L^p(C), p>=1 (and some related weighted classes), where phi 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 the Laplacian of phi. They generalise previous results by Seip for the case phi(z)=|z|^2, and by Berndtsson & Ortega-Cerdà and Ortega-Cerdà & Seip for the case when the Laplacian of phi is bounded above and below.
dc.identifierhttps://arxiv.org/abs/math/0205241
dc.identifierhttp://arxiv.org/abs/math/0205241
dc.identifierGeom. Funct. Anal. 13 (2003), no. 4, 862--914.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99321
dc.subjectComplex Variables
dc.subject30E05; 46E20
dc.titleInterpolating and sampling sequences for entire functions
dc.typetext

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