Approximation inL2 Sobolev spaces on the 2-sphere by quasi-interpolation

[1]  J. Levesley,et al.  Quasi-Interpolation on the 2-Sphere Using Radial Polynomials , 2000 .

[2]  Willi Freeden,et al.  Constructive Approximation on the Sphere: With Applications to Geomathematics , 1998 .

[3]  Gabriele Steidl,et al.  Kernels of spherical harmonics and spherical frames , 1996 .

[4]  S. Orszag.  Transform method for the calculation of vector-coupled sums: Application to the spectral form of the vorticity equation , 1970 .

[5]  Gabriele Steidl,et al.  Kernels of Spherical Harmonics and Spherical Frames Advanced Topics in Multivariate Approximation 1 , 1996 .

[6]  J. Hack,et al.  Spectral transform solutions to the shallow water test set , 1995 .

[7]  Willi Freeden,et al.  Combined Spherical Harmonic and Wavelet Expansion—A Future Concept in Earth's Gravitational Determination , 1997 .

[8]  A. Erdélyi,et al.  Higher Transcendental Functions , 1954 .

[9]  L. Schumaker,et al.  Scattered data fitting on the sphere , 1998 .

[10]  G. Carpenter.  In Providence, R. I. , 1929 .

[11]  M. Schreiner.  A Pyramid Scheme for Spherical Wavelets , 1999 .

[12]  Philip Crotwell.  Constructive Approximation on the Sphere , 2000 .

[13]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[14]  Manfred Reimer,et al.  Hyperinterpolation on the Sphere at the Minimal Projection Order , 2000 .

[15]  D. Healy,et al.  Computing Fourier Transforms and Convolutions on the 2-Sphere , 1994 .

[16]  Rene F. Swarttouw,et al.  Orthogonal polynomials , 2020, NIST Handbook of Mathematical Functions.