%0 Journal Article
%T Geometric conditions for multiple sampling and interpolation in the Fock space
%+ Institut de Mathématiques de Marseille (I2M)
%+ Institut de Mathématiques de Bordeaux (IMB)
%+ Departament de Matemàtica Aplicada i Anàlisi
%A Borichev, Alexander
%A Hartmann, Andreas
%A Kellay, Karim
%A Massaneda, Xavier
%Z Russian Science Foundation grant 14-41-00010, Generalitat de Catalunya (grant 2014 SGR 289), Spanish Ministerio de Ciencia e Innovacion (project MTM2014-51834- P).
%Z Analogous results for p between 2 and infinity have been added in the new Section 8.
%< avec comité de lecture
%@ 0001-8708
%J Advances in Mathematics
%I Elsevier
%V 304
%P 1262-1295
%8 2017
%D 2017
%Z 1508.03932
%R 10.1016/j.aim.2016.09.019
%K multiple interpolation
%K Fock space
%K multiple sampling
%K Riesz basis
%Z MSC2000 30D55, 46C07,46E22, 47B32, 47B35
%Z Mathematics [math]/Complex Variables [math.CV]Journal articles
%X We study multiple sampling, interpolation and uniqueness for the classical Fock spaces in the case of unbounded multiplicities. We show that there are no sequences which are simultaneously sampling and interpolating when the multiplicities tend to infinity.
%G English
%2 https://hal.science/hal-01184573v2/document
%2 https://hal.science/hal-01184573v2/file/AiM-5.pdf
%L hal-01184573
%U https://hal.science/hal-01184573
%~ CNRS
%~ UNIV-AMU
%~ IMB
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-