Pairs of explicitly given dual Gabor frames in \(L^{2}(\mathbb R^{d})\)

DOI10.1007/s00041-005-5052-3zbMath1096.42015OpenAlexW2146359082MaRDI QIDQ2501106

Ole Christensen, Rae Young Kim

Publication date: 4 September 2006

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

Full work available at URL: https://doi.org/10.1007/s00041-005-5052-3

zbMATH Keywords

dual framesGabor framesdual generator

Mathematics Subject Classification ID

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

Related Items (9)

Gabor dual spline windows ⋮ On partition of unities generated by entire functions and Gabor frames in \( L^2(\mathbb R^d) \) and \(\ell^2(\mathbb Z^d)\) ⋮ Cohn-Elkies functions from Gabor frames ⋮ Constructing pairs of dual bandlimited frame wavelets in \(L^{2}(\mathbb R^n)\) ⋮ TECHNIQUES FOR SMOOTHING AND SPLITTING IN THE CONSTRUCTION OF TIGHT FRAME GABOR WINDOWS ⋮ Gabor windows supported on \([- 1, 1\) and construction of compactly supported dual windows with optimal smoothness] ⋮ Duality for frames ⋮ Translation partitions of unity, symmetry properties, and Gabor frames ⋮ Duals of frame sequences

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