Pointwise convergence of wavelet expansions

DOI10.1090/S0273-0979-1994-00490-2zbMath0788.42014arXivmath/9401221OpenAlexW2615679942MaRDI QIDQ4286283

Louise A. Raphael, Mark A. Kon, Susan E. Kelly

Publication date: 24 May 1994

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

Full work available at URL: https://arxiv.org/abs/math/9401221

zbMATH Keywords

rates of convergencepointwise convergencescaling functionwavelet summation kernelswavelet-type expansions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Convergence and divergence of series and sequences of functions (40A30)

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Cites Work

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• Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
• Approximation of the delta function by wavelets
• On convergence and growth of partial sums of Fourier series
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )

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