Gabor frames in $l^2 (\mathbb Z)$ from Gabor frames in $L^2 (\mathbb R)$

DOI10.11568/kjm.2020.28.4.877zbMath1457.42048OpenAlexW3113557140MaRDI QIDQ5152024

N. M. Madhavan Namboothiri, Eldo Varghese, Jineesh Thomas

Publication date: 18 February 2021

Full work available at URL: http://kkms.org/index.php/kjm/article/download/1027/577

zbMATH Keywords

Hilbert spaceorthonormal basisunitary operatorGabor framewindow sequence

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Operator theory and harmonic analysis (47B90)

Cites Work

• A characterisation of Weyl-Heisenberg frame operators
• Finite frames. Theory and applications.
• Generalised Weyl-Heisenberg frame operators
• Gabor representation of generalized functions
• From continuous to discrete Weyl-Heisenberg frames through sampling
• Gabor analysis and algorithms. Theory and applications
• Foundations of time-frequency analysis
• Oblique dual frames and shift-invariant spaces
• Pseudoframes for subspaces with applications
• Painless nonorthogonal expansions
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases
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