Weighted irregular Gabor tight frames and dual systems using windows in the Schwartz class

DOI10.1016/j.jfa.2008.10.025zbMath1170.42014OpenAlexW2044421428MaRDI QIDQ1000528

Jean-Pierre Gabardo

Publication date: 9 February 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.10.025

zbMATH Keywords

Parseval framesGabor dualityIrregular Gabos systemTranslation-bounded measures

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) General harmonic expansions, frames (42C15)

Related Items

Partial Gabor frames and dual frames, WEIGHTED AND CONTROLLED FRAMES: MUTUAL RELATIONSHIP AND FIRST NUMERICAL PROPERTIES, Convolution Inequalities in Locally Compact Groups and Unitary Systems, The Turán problem and its dual for positive definite functions supported on a ball in \(\mathbb{R}^d\), Minimum-energy multiwavelet frames with arbitrary integer dilation factor, Frames of multi-windowed exponentials on subsets of \(\mathbb R^d\), Dilation of the Weyl symbol and Balian-Low theorem, Tight Gabor frames associated with non-separable lattices and the hyperbolic secant, Gabor frames for model sets

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