Frames and representing systems in fréchet spaces and their duals
- Bonet, J. 1
- Fernández, C. 2
- Galbis, A. 2
- Ribera, J.M. 1
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1
Universidad Politécnica de Valencia
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2
Universitat de València
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ISSN: 1735-8787
Année de publication: 2017
Volumen: 11
Número: 1
Pages: 1-20
Type: Article
D'autres publications dans: Banach Journal of Mathematical Analysis
Résumé
Frames and Bessel sequences in Fréchet 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 examples and consequences about sampling sets and Dirichlet series expansions. © 2017 by the Tusi Mathematical Research Group.