Characterization of pointwise Hölder regularity

DOI10.1006/acha.1997.0219zbMath0886.42003OpenAlexW2014809761MaRDI QIDQ1372775

Patrik Andersson

Publication date: 8 April 1998

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.1997.0219

zbMATH Keywords

waveletscontinuityHölder exponentpointwise Hölder regularity

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Continuity and differentiation questions (26B05) Fourier series and coefficients in several variables (42B05)

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Cites Work

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• Pointwise smoothness, two-microlocalization and wavelet coefficients
• Construction of continuous functions with prescribed local regularity
• Functions with prescribed Hölder exponent
• Ten Lectures on Wavelets
• Fourier Analysis of the Finite Element Method in Ritz‐Galerkin Theory
• Wavelet methods for pointwise regularity and local oscillations of functions