Frames and representing systems in Fréchet spaces and their duals
[EN] Frames and Bessel sequences in Fr\'echet spaces and their duals are defined and studied. Their relation with Schauder frames and representing systems is analyzed. The abstract results presented here, when applied to concrete spaces of analytic functions, give many examples and conseque...
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/107347 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/107347 |
| Access Level: | acceso abierto |
| Palavra-chave: | Frames Representing systems Frechet spaces (LB)-spaces Weakly sufficient sets MATEMATICA APLICADA DIDACTICA DE LA MATEMATICA |
| Resumo: | [EN] Frames and Bessel sequences in Fr\'echet spaces and their duals are defined and studied. Their relation with Schauder frames and representing systems is analyzed. The abstract results presented here, when applied to concrete spaces of analytic functions, give many examples and consequences about sampling sets and Dirichlet series expansions. |
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