Constructing super Gabor frames: the rational time-frequency lattice case

DOI10.1007/s11425-010-4109-1zbMath1206.42036OpenAlexW2059179125MaRDI QIDQ625950

De Guang Han, Zhong Yan Li

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4109-1

zbMATH Keywords

tilesfull rank latticeorthonormal super framesuper Gabor frame

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative measure and integration (46L51) General harmonic expansions, frames (42C15)

Related Items (16)

A time domain characterization of vector-valued subspace weak Gabor bi-frames ⋮ Vector-valued (super) weaving frames ⋮ Vector-valued Gabor frames associated with periodic subsets of the real line ⋮ A class of vector-valued subspace weak Gabor duals of type II ⋮ Approximately dual frames of vector‐valued nonstationary Gabor frames and reconstruction errors ⋮ Super Gabor frames on discrete periodic sets ⋮ Rational time-frequency super Gabor frames and their duals ⋮ Characterizations of disjointness of \(g\)-frames and constructions of \(g\)-frames in Hilbert spaces ⋮ Frame vector multipliers for finite group representations ⋮ Subspace dual super wavelet and Gabor frames ⋮ Weak affine super bi-frames for reducing subspaces of \(L^{2}(\mathbb R,\mathbb C^{L})\) ⋮ Super Oblique Gabor Duals of Super Gabor Frames on Discrete Periodic Sets ⋮ Hilbert space valued Gabor frames in weighted amalgam spaces ⋮ Vector-valued nonstationary Gabor frames ⋮ RATIONAL TIME-FREQUENCY VECTOR-VALUED SUBSPACE GABOR FRAMES AND BALIAN-LOW THEOREM ⋮ A characterization of nonhomogeneous dual and weak dual wavelet superframes for Walsh‐reducing subspace of L2(ℝ+,ℂL)$$ {L}^2\left({\mathbb{R}}_{+},{\mathbb{C}}^L\right) $$

Cites Work

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• Gabor (super)frames with Hermite functions
• Simultaneous estimates for vector-valued Gabor frames of Hermite functions
• Square integrable representations, von Neumann algebras and an application to Gabor analysis
• Necessary conditions for Gabor frames
• History and evolution of the density theorem for Gabor frames
• Frame representations and Parseval duals with applications to Gabor frames
• Frame duality properties for projective unitary representations
• Frames, bases and group representations
• Subspace Weyl-Heisenberg frames
• Lattice tiling and the Weyl-Heisenberg frames

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