Estimates, decay properties, and computation of the dual function for Gabor frames

DOI10.1007/BF01257190zbMath0948.42024MaRDI QIDQ1973854

Vincenza Del Prete

Publication date: 14 November 2000

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

Full work available at URL: https://eudml.org/doc/59622

zbMATH Keywords

splineWeyl-Heisenberg frameGabor framedual window

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spline approximation (41A15)

Related Items (10)

On the Gabor frame set for compactly supported continuous functions ⋮ On Gabor frames generated by sign-changing windows and B-splines ⋮ Spline function generating Gabor systems on the half real line ⋮ Gabor frames and totally positive functions ⋮ The mystery of Gabor frames ⋮ Counterexamples to the B-spline conjecture for Gabor frames ⋮ Gabor windows supported on \([- 1, 1\) and construction of compactly supported dual windows with optimal smoothness] ⋮ Hilbert space valued Gabor frames in weighted amalgam spaces ⋮ Pairs of dual Gabor frame generators with compact support and desired frequency localization ⋮ On a necessary condition for B-spline Gabor frames

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• A Simple Wilson Orthonormal Basis with Exponential Decay
• The wavelet transform, time-frequency localization and signal analysis
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