Frames and representing systems in fréchet spaces and their duals

  1. Bonet, J. 1
  2. Fernández, C. 2
  3. Galbis, A. 2
  4. Ribera, J.M. 1
  1. 1 Universidad Politécnica de Valencia
    info

    Universidad Politécnica de Valencia

    Valencia, España

    ROR https://ror.org/01460j859

  2. 2 Universitat de València
    info

    Universitat de València

    Valencia, España

    ROR https://ror.org/043nxc105

Journal:
Banach Journal of Mathematical Analysis

ISSN: 1735-8787

Year of publication: 2017

Volume: 11

Issue: 1

Pages: 1-20

Type: Article

DOI: 10.1215/17358787-3721183 SCOPUS: 2-s2.0-85008144256 GOOGLE SCHOLAR

More publications in: Banach Journal of Mathematical Analysis

Abstract

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.