Beurling dimension of Gabor pseudoframes for affine subspaces

DOI10.1007/s00041-008-9026-0zbMath1268.42055OpenAlexW2164019868MaRDI QIDQ939098

Gitta Kutyniok, Wojciech Czaja, Darrin M. Speegle

Publication date: 21 August 2008

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-008-9026-0

zbMATH Keywords

frameGabor systemhomogeneous approximation propertyBeurling densityBeurling dimensiondiscrete Hausdorff dimensionMass dimensionsNyquist densitypseudoframepseudoframe for subspaces

Mathematics Subject Classification ID

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

Related Items (13)

On the Beurling dimension of exponential frames ⋮ Spatially distributed sampling and reconstruction ⋮ On the intermediate value property of spectra for a class of Moran spectral measures ⋮ Beurling dimension and self-similar measures ⋮ Arbitrarily sparse spectra for self-affine spectral measures ⋮ Bessel sequences of exponentials on fractal measures ⋮ Measure of self-affine sets and associated densities ⋮ Fourier frames for singular measures and pure type phenomena ⋮ Continuous and discrete Fourier frames for fractal measures ⋮ Uniform partitions of frames of exponentials into Riesz sequences ⋮ Fourier duality for fractal measures with affine scales ⋮ On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures ⋮ Beurling dimension of a class of spectra of the Sierpinski-type spectral measures

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