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g-Riesz dual sequences for g-Bessel sequences

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Publication:2925278
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DOI10.1142/S1793557114500417zbMath1300.42007MaRDI QIDQ2925278

Elnaz Osgooei, Abbas Najati, Mohammad Hasan Faroughi

Publication date: 21 October 2014

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

g-orthonormal basisg-Riesz basisg-Riesz dual sequence


Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)


Related Items (4)

Generalized framing and Riesz-dual sequences in Banach spaces ⋮ On R-duals and the duality principle in Banach frames ⋮ A characterization of Riesz-dual sequences which are near-Markushevich bases ⋮ Duality relations associated with weak g-R-duals



Cites Work

  • Duality principles in frame theory
  • \(g\)-frames and \(g\)-frame sequences in Hilbert spaces
  • \(g\)-frames and \(g\)-Riesz bases
  • Continuous and Discrete Wavelet Transforms
  • On general frame decompositions
  • An introduction to frames and Riesz bases


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