On matrix-valued Gabor frames over locally compact abelian groups

DOI10.1142/s0219025723500236zbMath1530.42055OpenAlexW4386000500MaRDI QIDQ6187610

Lalit Kumar Vashisht, Uttam Kumar Sinha, Pankaj Kumar Das

Publication date: 15 January 2024

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025723500236

zbMATH Keywords

perturbationlocally compact groupGabor frame

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Cites Work

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• Weaving properties of generalized continuous frames generated by an iterated function system
• Multivariate wavelet frames
• Generalized continuous frames constructed by using an iterated function system
• A basis theory primer.
• Duality and biorthogonality for Weyl-Heisenberg frames
• Foundations of time-frequency analysis
• \(\mathcal K\)-matrix-valued wave packet frames in \(L^2(\mathbb R^d,\mathbb C^{s\times r})\)
• On the stability of frames and Riesz bases
• On matrix-valued wave packet frames in \(L^2(\mathbb{R}^d, \mathbb{C}^{s\times r})\)
• Discrete vector-valued nonuniform Gabor frames
• Sums of matrix-valued wave packet frames in L2(ℝd,ℂs× r)
• Painless nonorthogonal expansions
• On WH-packets of matrix-valued wave packet frames in L2(ℝd, ℂs×r)
• Portraits of Frames
• Multivariate Gabor frames for operators in matrix-valued signal spaces over locally compact abelian groups
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases
• Matrix-valued nonstationary frames associated with the Weyl–Heisenberg group and the extended affine group
• Nonstationary frames of translates and frames from the Weyl–Heisenberg group and the extended affine group ^*