RATIONAL TIME-FREQUENCY VECTOR-VALUED SUBSPACE GABOR FRAMES AND BALIAN-LOW THEOREM

DOI10.1142/S0219691313500136zbMath1268.42061OpenAlexW2093080208MaRDI QIDQ2836529

Yan Zhang, Yun-Zhang Li

Publication date: 3 July 2013

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

Full work available at URL: https://doi.org/10.1142/s0219691313500136

zbMATH Keywords

Zak transformGabor frameGabor dualBalian-Low theoremvector-valued subspace Gabor frame

Mathematics Subject Classification ID

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

Related Items (9)

Multi-window dilation-and-modulation frames on the half real line ⋮ Vector-valued Gabor frames associated with periodic subsets of the real line ⋮ Partial Gabor frames and dual frames ⋮ A class of vector-valued subspace weak Gabor duals of type II ⋮ Quaternionic Gabor frame characterization and the density theorem ⋮ Subspace dual super wavelet and Gabor frames ⋮ Weak affine super bi-frames for reducing subspaces of \(L^{2}(\mathbb R,\mathbb C^{L})\) ⋮ Weak Gabor bi-frames on periodic subsets of the real line ⋮ A characterization of nonhomogeneous dual and weak dual wavelet superframes for Walsh‐reducing subspace of L2(ℝ+,ℂL)$$ {L}^2\left({\mathbb{R}}_{+},{\mathbb{C}}^L\right) $$

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