Some results on the lattice parameters of quaternionic Gabor frames

DOI10.1007/s00006-015-0587-0zbMath1342.42031arXiv1507.06636OpenAlexW977953231MaRDI QIDQ284522

Stefan Hartmann

Publication date: 18 May 2016

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06636

zbMATH Keywords

Fourier transformcritical densityquaternionic Gabor framequaternionic Zak transformwindowed quaternionic Fourier transform

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) General harmonic expansions, frames (42C15) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (8)

Characterization of rationally sampled quaternionic dual Gabor frames ⋮ Quaternionic Gabor frame characterization and the density theorem ⋮ Uncertainty principles related to quaternionic windowed Fourier transform ⋮ Relaxed quaternionic Gabor expansions at critical density ⋮ Relation between quaternion Fourier transform and quaternion Wigner-Ville distribution associated with linear canonical transform ⋮ Structural results for quaternionic Gabor frames ⋮ Two-dimensional quaternion linear canonical transform: properties, convolution, correlation, and uncertainty principle ⋮ On wavelet multiplier and Landau-Pollak-Slepian operators on \(L^2(G,\mathbb{H})\)

Cites Work

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• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
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