Quaternionic Gabor frame characterization and the density theorem
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Publication:6176599
DOI10.1007/s43037-023-00289-8zbMath1529.46054WikidataQ122964953 ScholiaQ122964953MaRDI QIDQ6176599
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Publication date: 25 July 2023
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Functions of hypercomplex variables and generalized variables (30G35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) General harmonic expansions, frames (42C15) Quaternionic functional analysis (46S05)
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Cites Work
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- Some results on the lattice parameters of quaternionic Gabor frames
- The quaternion domain Fourier transform and its properties
- Multidimensional quaternionic Gabor transforms
- The mystery of Gabor frames
- The Balian-Low theorem for the windowed quaternionic Fourier transform
- Homogeneous wavelets and framelets with the refinable structure
- Function theory in plane and space
- Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
- Windowed Fourier transform of two-dimensional quaternionic signals
- Density results for Gabor systems associated with periodic subsets of the real line
- Von Neumann algebras associated with pairs of lattices in Lie groups
- Structural results for quaternionic Gabor frames
- The density theorem of a class of dilation-and-modulation systems on the half real line
- Some results for the two-sided quaternionic Gabor Fourier transform and quaternionic Gabor frame operator
- Paley-Wiener theorems for the two-sided quaternion Fourier transform
- History and evolution of the density theorem for Gabor frames
- An uncertainty principle for quaternion Fourier transform
- Lattice tiling and density conditions for subspace Gabor frames
- Quaternion Fourier transform on quaternion fields and generalizations
- Density, overcompleteness, and localization of frames. II: Gabor systems
- RATIONAL TIME-FREQUENCY VECTOR-VALUED SUBSPACE GABOR FRAMES AND BALIAN-LOW THEOREM
- The Balian–Low Theorem for the Windowed Clifford–Fourier Transform
- Relaxed quaternionic Gabor expansions at critical density
- Hypercomplex Fourier Transforms of Color Images
- The wavelet transform, time-frequency localization and signal analysis
- Uncertainty principle for the two-sided quaternion windowed Fourier transform
- Processing a radar signal and representations of the discrete Heisenberg group
- The Balian–Low theorem for a new kind of Gabor system
- The Two-Sided Gabor Quaternionic Fourier Transform and Uncertainty Principles
- Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT
- Steerable Wavelet Frames Based on the Riesz Transform
- Quaternions and matrices of quaternions
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