Weak Gabor bi-frames on periodic subsets of the real line

DOI10.1142/S0219691315500460zbMath1332.42026MaRDI QIDQ2788476

Yun-Zhang Li, Hui-Fang Jia

Publication date: 19 February 2016

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

Gabor frameweak Gabor bi-frameGabor bi-frame

Mathematics Subject Classification ID

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

Related Items

A time domain characterization of vector-valued subspace weak Gabor bi-frames, Subspace mixed rational time-frequency multiwindow Gabor frames and their Gabor duals, Multi-window dilation-and-modulation frames on the half real line, Partial Gabor frames and dual frames, A class of vector-valued subspace weak Gabor duals of type II, Discrete Gabor frames and \(K\)-discrete Gabor frames, Weak affine super bi-frames for reducing subspaces of \(L^{2}(\mathbb R,\mathbb C^{L})\), Vector-valued weak Gabor dual frames on discrete periodic sets

Cites Work

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• Advances in Gabor analysis
• The Balian-Low theorem for symplectic lattices in higher dimensions
• The uniqueness of the dual of Weyl--Heisenberg subspace frames
• Oblique duals associated with rational subspace Gabor frames
• RATIONAL TIME-FREQUENCY VECTOR-VALUED SUBSPACE GABOR FRAMES AND BALIAN-LOW THEOREM
• RATIONAL TIME-FREQUENCY GABOR FRAMES ASSOCIATED WITH PERIODIC SUBSETS OF THE REAL LINE