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: | ; ; ; |
|---|---|
| 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 |
| _version_ | 1878741058065530880 |
|---|---|
| author | Borichev, Alexander A. |
| author2 | Hartmann, Andreas Kellay, Karim Massaneda Clares, Francesc Xavier |
| author2_role | author author author |
| author_browse | Borichev, Alexander A. Hartmann, Andreas Kellay, Karim Massaneda Clares, Francesc Xavier |
| author_facet | Borichev, Alexander A. Hartmann, Andreas Kellay, Karim Massaneda Clares, Francesc Xavier |
| author_role | author |
| collection | Dipòsit Digital de la UB |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_de4d2ee4e5db20d577a57e82b044e3b2 |
| institution | Universidad de Barcelona |
| instname_str | Universidad de Barcelona |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:diposit.ub.edu:2445/192550 |
| publishDate | 2017 |
| publishDateSort | 2017 |
| publisher | Elsevier B.V. |
| publisherStr | Elsevier B.V. |
| reponame_str | Dipòsit Digital de la UB |
| spelling | Geometric conditions for multiple sampling and interpolation in the Fock space Borichev, Alexander A. Hartmann, Andreas Kellay, Karim Massaneda Clares, Francesc Xavier 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 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. Elsevier B.V. https://hdl.handle.net/2445/192550 |
| spellingShingle | Geometric conditions for multiple sampling and interpolation in the Fock space Borichev, Alexander A. 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 |
| status_str | acceptedVersion |
| title | Geometric conditions for multiple sampling and interpolation in the Fock space |
| title_full | Geometric conditions for multiple sampling and interpolation in the Fock space |
| title_fullStr | Geometric conditions for multiple sampling and interpolation in the Fock space |
| title_full_unstemmed | Geometric conditions for multiple sampling and interpolation in the Fock space |
| title_short | Geometric conditions for multiple sampling and interpolation in the Fock space |
| title_sort | Geometric conditions for multiple sampling and interpolation in the Fock space |
| topic | 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 |
| topic_facet | 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 |
| url | https://hdl.handle.net/2445/192550 |