Non‐orthogonal expansions on the sphere

DOI10.1002/mma.1670180202zbMath0849.42017OpenAlexW1980104826MaRDI QIDQ4320408

Willi Freeden, Michael Schreiner

Publication date: 31 January 1995

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670180202

zbMATH Keywords

potential theorydiffusion equationapproximationwavelet expansionsformal Fourier series expansionAbel-Poisson framesGauss-Weierstrass framesmultiscale descriptions of image processing

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Dilations, extensions, compressions of linear operators (47A20) General harmonic expansions, frames (42C15)

Related Items (8)

Locally supported kernels for spherical spline interpolation ⋮ Spherical wavelet transform and its discretization ⋮ Wavelet modeling of regional and temporal variations of the Earth's gravitational potential observed by GRACE ⋮ An adaptive hierarchical approximation method on the sphere using axisymmetric locally supported basis functions ⋮ Locally supported approximate identities on the unit ball ⋮ A Numerical Framework for Efficient Motion Estimation on Evolving Sphere-Like Surfaces Based on Brightness and Mass Conservation Laws ⋮ Spin weighted spherical wavelets derived from approximate identities ⋮ Spherical Harmonics Based Special Function Systems and Constructive Approximation Methods

Cites Work

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