The wavelet transform on Sobolev spaces and its approximation properties

DOI10.1007/BF01385659zbMath0699.44003WikidataQ60707602 ScholiaQ60707602MaRDI QIDQ913184

Andreas Rieder

Publication date: 1991

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133535

zbMATH Keywords

iterative algorithmSobolev spacediscrete wavelet transformasymptotic behaviourlinear isometrycontinuous wavelet transformgeneralized derivativeNumerical examplesscaling parameters

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10)

Related Items

Certain properties of continuous fractional wavelet transform on Hardy space and Morrey space ⋮ Composition of quadratic-phase Fourier wavelet transform ⋮ A note on continuous fractional wavelet transform in ℝn ⋮ Abelian theorems for quadratic-phase Fourier wavelet transform ⋮ Logarithmic uncertainty principle, convolution theorem related to continuous fractional wavelet transform and its properties on a generalized Sobolev space ⋮ A Hilbert-space approach to hankel transformable distributions ⋮ The high frequency behaviour of continuous wavelet transforms ⋮ Boundedness of the wavelet integral operator on weighted function spaces ⋮ Multi-dimensional Wavelets on Sobolev Spaces ⋮ Fractional continuous wavelet transform on some function spaces ⋮ Approximation of linear canonical wavelet transform on the generalized Sobolev spaces ⋮ The composition of fractional Hankel wavelet transform on some function spaces

Cites Work

• A theory for multiresolution signal decomposition: the wavelet representation
• Transforms associated to square integrable group representations. I. General results
• Painless nonorthogonal expansions
• Orthonormal bases of compactly supported wavelets
• The wavelet transform, time-frequency localization and signal analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item