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Sufficient conditions for shift-invariant systems to be frames in \(L^2({\mathbb R^n})\)

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Publication:2392008
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DOI10.1007/s10114-013-1754-7zbMath1272.42020OpenAlexW2074596327MaRDI QIDQ2392008

Tao Qian, Dengfeng Li

Publication date: 6 August 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1754-7

zbMATH Keywords

framesshift-invariant systemsGabor systems


Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)


Related Items

Frames associated with shift-invariant spaces on local fields, Frames associated with shift invariant spaces on positive half line



Cites Work

  • Two sufficient conditions in frequency domain for Gabor frames
  • Gabor analysis and algorithms. Theory and applications
  • Grassmannian frames with applications to coding and communication
  • Foundations of time-frequency analysis
  • A unified characterization of reproducing systems generated by a finite family
  • Advances in Gabor analysis
  • Unified conditions for wavelet frames
  • Painless nonorthogonal expansions
  • Ten Lectures on Wavelets
  • A Class of Nonharmonic Fourier Series
  • An introduction to frames and Riesz bases
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