Wavelet expansions and asymptotic behavior of distributions

DOI10.1016/j.jmaa.2010.04.041zbMath1196.42031OpenAlexW2041078798MaRDI QIDQ984813

Jasson Vindas, Katerina Hadzi-Velkova Saneva

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/981496

zbMATH Keywords

distributionsTauberian theoremswavelet coefficientsOrthogonal wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

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Cites Work

• Multiresolution expansion, approximation order and quasiasymptotic behavior of tempered distributions
• Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
• Pointwise analysis of Riemann's ``nondifferentiable function
• Wavelets and quasiasymptotics at a point
• Pointwise convergence of wavelet expansions
• The nonexistence of regularization operators.
• A distributional approach to the boundary layer theory
• Wavelet coefficients measuring smoothness in \(H_ p(\mathbb{R}^ d)\)
• Distributional point values and convergence of Fourier series and integrals
• Associated and quasi associated homogeneous distributions (generalized functions)
• Sur la valeur et la limite d'une distribution en un point
• The structure of quasiasymptotics of Schwartz distributions
• Asymptotic behaviour of wavelet coefficients
• Structural theorems for quasiasymptotics of distributions at the origin
• Structural theorems for quasiasymptotics of distributions at infinity
• Ten Lectures on Wavelets
• Pointwise convergence of wavelet expansions
• Strong Moment Problems for Rapidly Decreasing Smooth Functions
• Wavelets, Vibrations and Scalings
• Wavelet frames for distributions; local and pointwise regularity
• Tauberian Theory
• Asymptotic expansion of distributional wavelet transform
• Tauberian theorems for distributional wavelet transform
• Wavelet methods for pointwise regularity and local oscillations of functions
• Tauberian theorems in quantum field theory
• Regularly varying functions
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