Geometric conditions for multiple sampling and interpolation in the Fock space

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• 作者：A. Borichev^a ; ^{alexander.borichev@math.cnrs.fr" class="auth_mail" title="E-mail the corresponding author} ; A. Hartmann^b ; ^{Andreas.Hartmann@math.u-bordeaux.fr" class="auth_mail" title="E-mail the corresponding author} ; K. Kellay^b ; ^{karim.kellay@math.u-bordeaux.fr" class="auth_mail" title="E-mail the corresponding author} ; X. Massaneda^c ; ^{xavier.massaneda@ub.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：30D55 ; 46C07 ; 46E22 ; 47B32 ; 47B35
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：2 January 2017
• 年：2017
• 卷：304
• 期：Complete
• 页码：1262-1295
• 全文大小：493 K

文摘

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. This answers partially a question posed by Brekke and Seip.