Wavelet expansion of functions on a differentiable manifold

DOI10.3103/S106345410804002XzbMath1172.42318OpenAlexW1996306115MaRDI QIDQ735565

Yuri K. Dem'yanovich

Publication date: 23 October 2009

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s106345410804002x

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Differentiable manifolds, foundations (58A05)

Cites Work

• Smoothness of spline spaces and wavelet decompositions
• The lifting scheme: A custom-design construction of biorthogonal wavelets
• Use of divided differences and B splines for constructing fast discrete transforms of wavelet type on nonuniform grids
• Matrix approximations and solvers using tensor products and non-standard wavelet transforms related to irregular grids
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