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Existence of Parseval oblique duals of a frame sequence

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Publication:488682
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DOI10.1016/j.jmaa.2013.03.031zbMath1304.42074OpenAlexW2044450727MaRDI QIDQ488682

Jae Kun Lim, Yoo Young Koo

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.03.031

zbMATH Keywords

isometryframeexcessframe sequenceoblique dual


Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)


Related Items

Approximate oblique dual frames, Making and Sharing K-Dual Frame Pairs



Cites Work

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  • Duals of frame sequences
  • The art of frame theory
  • Oblique dual frames and shift-invariant spaces
  • Deficits and excesses of frames
  • Frames and pseudo-inverses
  • The uniqueness of shift-generated duals for frames in shift-invariant subspaces
  • Sum and direct sum of frame sequences
  • Applications of Parameterizations of Oblique Duals of a Frame Sequence
  • Oblique projections and frames
  • Frame representations and Parseval duals with applications to Gabor frames
  • Pre-Frame Operators, Besselian Frames, and Near-Riesz Bases in Hilbert Spaces
  • Frames, bases and group representations
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