Oversampling and preservation of tightness in affine frames

DOI10.1090/S0002-9939-01-06187-1zbMath0986.42017OpenAlexW1577395648MaRDI QIDQ2781249

Raquel G. Catalán

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06187-1

zbMATH Keywords

waveletstight framesaffine frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (2)

Tight frame oversampling and its equivalence to shift-invariance of affine frame operators ⋮ Characterizations of tight over-sampled affine frame systems and over-sampling rates

Cites Work

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• Continuity properties of the Gabor frame operator
• Bessel sequences and affine frames
• The wavelet transform, time-frequency localization and signal analysis
• Ten Lectures on Wavelets
• n × Oversampling Preserves any Tight Affine Frame for Odd n
• Continuous and Discrete Wavelet Transforms
• A necessary and sufficient condition for the existence of a father wavelet

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