INTERPOLATING WAVELETS ON THE SPHERE

DOI10.15826/UMJ.2019.2.001zbMath1454.42034OpenAlexW2996918528MaRDI QIDQ5125236

N. I. Chernykh

Publication date: 5 October 2020

Published in: Ural Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj98

zbMATH Keywords

waveletsmultiresolution analysisinterpolating waveletstrigonometric polynomialsbest approximationscaling functions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Multidimensional problems (41A63) Approximation by other special function classes (41A30)

Cites Work

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• Interpolation wavelets in boundary value problems
• Orthogonal and nonorthogonal multiresolution analysis, scale discrete and exact fully discrete wavelet transform on the sphere
• Polynomial wavelet-type expansions of functions on a sphere.
• Interpolating-orthogonal wavelet systems
• Wavelet Analysis on the Sphere
• Characterizations of function spaces on the sphere using frames
• Multiresolution analysis and wavelets onS²andS³

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