Approximation of the Fourier transform and the dual Gabor window

DOI10.1007/s00041-004-3070-1zbMath1064.42022OpenAlexW2112982236MaRDI QIDQ1777949

Norbert Kaiblinger

Publication date: 25 May 2005

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

Full work available at URL: https://doi.org/10.1007/s00041-004-3070-1

zbMATH Keywords

samplingFourier transformapproximationquasi-interpolationGabor frameperiodizationdual Gabor windowFeichtinger space

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Coherent states (81R30) Linear operators on function spaces (general) (47B38) General harmonic expansions, frames (42C15)

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