Perturbations of the Haar wavelet

DOI10.1090/S0002-9939-97-04002-1zbMath0887.42022OpenAlexW1907771214MaRDI QIDQ4372382

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Publication date: 11 December 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04002-1

zbMATH Keywords

framesaffine framesRiesz basesHaar waveletcardinal splinesbasis perturbations\(\wedge\)-bounded mean variation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Interpolation in approximation theory (41A05) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (5)

On \(q\)-advanced spherical Bessel functions of the first kind and perturbations of the Haar wavelet ⋮ Discretization and perturbation of wavelet-like families ⋮ Perturbations of the Haar wavelet by convolution ⋮ Riesz bases and multiresolution analyses ⋮ Continuous and localized Riesz bases for \(L^2\) spaces defined by Muckenhoupt weights

Cites Work

• Bessel sequences and affine frames
• On the stability of frames and Riesz bases
• Ten Lectures on Wavelets
• Acceleration of the frame algorithm
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