Geodesic
Multiple sampling and interpolation in the classical Fock space
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 43, Tome 434 (2015), pp. 53-56 
A. Borichev; A. Hartmann; K. Kellay; X. Massaneda. Multiple sampling and interpolation in the classical Fock space. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 43, Tome 434 (2015), pp. 53-56. http://geodesic.mathdoc.fr/item/ZNSL_2015_434_a3/
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     title = {Multiple sampling and interpolation in the classical {Fock} space},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_434_a3/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We study multiple sampling, interpolation and uniqueness for the classical Fock space in the case of unbounded multiplicities.

[1] S. Brekke, K. Seip, “Density theorems for sampling and interpolation in the Bargmann–Fock space. III”, Math. Scand., 73 (1993), 112–126 | MR | Zbl

[2] B. Ya. Levin, Lectures on entire functions, Translations of Mathematical Monographs, 150, American Mathematical Society, Providence, RI, 1996 | MR | Zbl

[3] K. Seip, “Density theorems for sampling and interpolation in the Bargmann–Fock space. I”, J. Reine Angew. Math., 429 (1992), 91–106 | MR | Zbl

[4] K. Seip, R. Wallstén, “Density theorems for sampling and interpolation in the Bargmann–Fock space. II”, J. Reine Angew. Math., 429 (1992), 107–113 | MR | Zbl

[5] K. Zhu, Analysis on Fock spaces, Graduate Texts in Mathematics, 263, Springer, New York, 2012 | DOI | MR | Zbl