Wavelet methods for pointwise regularity and local oscillations of functions
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Publication:5690755
DOI10.1090/memo/0587zbMath0873.42019OpenAlexW2003880880MaRDI QIDQ5690755
Publication date: 12 March 1997
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/memo/0587
waveletschirpsmodulus of continuityHausdorff dimensionRiemann functionLittlewood-Paley decompositionselfsimilaritypointwise Hölder regularitytwo-microlocalization
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Maximal functions, Littlewood-Paley theory (42B25) Lipschitz (Hölder) classes (26A16) Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)
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