Geometric conditions for multiple sampling and interpolation in the Fock space

dc.contributor.author
Borichev, Alexander A.
dc.contributor.author
Hartmann, Andreas
dc.contributor.author
Kellay, Karim
dc.contributor.author
Massaneda Clares, Francesc Xavier
dc.date.issued
2023-01-24T10:53:04Z
dc.date.issued
2023-01-24T10:53:04Z
dc.date.issued
2017-01-02
dc.date.issued
2023-01-24T10:53:04Z
dc.identifier
0001-8708
dc.identifier
https://hdl.handle.net/2445/192550
dc.identifier
664889
dc.description.abstract
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.
dc.format
34 p.
dc.format
application/pdf
dc.format
application/pdf
dc.language
eng
dc.publisher
Elsevier B.V.
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1016/j.aim.2016.09.019
dc.relation
Advances in Mathematics, 2017, vol. 304, p. 1262-1295
dc.relation
https://doi.org/10.1016/j.aim.2016.09.019
dc.rights
cc-by-nc-nd (c) Elsevier B.V., 2017
dc.rights
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Funcions de variables complexes
dc.subject
Problemes de moments (Matemàtica)
dc.subject
Interpolació (Matemàtica)
dc.subject
Espais de Hilbert
dc.subject
Operadors lineals
dc.subject
Functions of complex variables
dc.subject
Moment problems (Mathematics)
dc.subject
Interpolation
dc.subject
Hilbert space
dc.subject
Linear operators
dc.title
Geometric conditions for multiple sampling and interpolation in the Fock space
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion


Ficheros en el ítem

FicherosTamañoFormatoVer

No hay ficheros asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)