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http://hdl.handle.net/2445/192550| Title: | Geometric conditions for multiple sampling and interpolation in the Fock space |
| Author: | Borichev, Alexander A. Hartmann, Andreas Kellay, Karim Massaneda Clares, Francesc Xavier |
| Keywords: | 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 |
| Issue Date: | 2-Jan-2017 |
| Publisher: | Elsevier B.V. |
| 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. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.1016/j.aim.2016.09.019 |
| It is part of: | Advances in Mathematics, 2017, vol. 304, p. 1262-1295 |
| URI: | http://hdl.handle.net/2445/192550 |
| Related resource: | https://doi.org/10.1016/j.aim.2016.09.019 |
| ISSN: | 0001-8708 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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