Geometric conditions for multiple sampling and interpolation in the Fock space
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...
| Authors: | ; ; ; |
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| Format: | Article |
| Status: | Accepted version |
| Publication date: | 2017 |
| Country: | España |
| Institution: | Universidad de Barcelona |
| Repository: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/192550 |
| Online Access: | https://hdl.handle.net/2445/192550 |
| Access Level: | Open access |
| Keyword: | 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 |
| Summary: | 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. |
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