Universitat de Barcelona
2023-01-24T10:53:04Z
2023-01-24T10:53:04Z
2017-01-02
2023-01-24T10:53:04Z
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.
Article
Accepted version
English
Funcions de variables complexes; Problemes de moments (Matemàtica); Interpolació (Matemàtica); Espais de Hilbert; Operadors lineals; Functions of complex variables; Moment problems (Mathematics); Interpolation; Hilbert space; Linear operators
Elsevier B.V.
Versió postprint del document publicat a: https://doi.org/10.1016/j.aim.2016.09.019
Advances in Mathematics, 2017, vol. 304, p. 1262-1295
https://doi.org/10.1016/j.aim.2016.09.019
cc-by-nc-nd (c) Elsevier B.V., 2017
https://creativecommons.org/licenses/by-nc-nd/4.0/
