Local convergence of Fourier series with respect to periodized wavelets

DOI10.1006/JATH.1998.3191zbMath0915.42021OpenAlexW2018024502MaRDI QIDQ1270273

K. Appert

Publication date: 20 June 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1998.3191

zbMATH Keywords

multiresolution analysisscaling functionperiodic waveletsstrong Lebesgue pointswavelet Fourier series

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by other special function classes (41A30)

Related Items (8)

Polynomial Schauder basis of optimal degree with Jacobi orthogonality ⋮ Approximation of integrable functions by wavelet expansions ⋮ On construction of periodic wavelet frames ⋮ On sufficient frame conditions for periodic wavelet systems ⋮ Sufficient conditions for a multidimensional system of periodic wavelets to be a frame ⋮ Periodic wavelet frames and time-frequency localization ⋮ Convergence and Gibbs phenomenon of periodic wavelet frame series ⋮ Wavelet approximation of periodic functions

Cites Work

• Local convergence for wavelet expansions
• Ten Lectures on Wavelets
• On the strong derivatives of functions of intervals
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