Mildenberger, Sophie; Quellmalz, Michael Approximation properties of the double Fourier sphere method. (English) Zbl 1485.42011 J. Fourier Anal. Appl. 28, No. 2, Paper No. 31, 30 p. (2022). MSC: 42B05 42C10 43A90 65T50 46E35 PDFBibTeX XMLCite \textit{S. Mildenberger} and \textit{M. Quellmalz}, J. Fourier Anal. Appl. 28, No. 2, Paper No. 31, 30 p. (2022; Zbl 1485.42011) Full Text: DOI arXiv
Diao, Xuhao; Hu, Jun; Ma, Suna Preconditioned Legendre spectral Galerkin methods for the non-separable elliptic equation. (English) Zbl 1486.65272 J. Sci. Comput. 91, No. 1, Paper No. 12, 27 p. (2022). MSC: 65N35 65F10 65F08 65N22 42C10 44A15 PDFBibTeX XMLCite \textit{X. Diao} et al., J. Sci. Comput. 91, No. 1, Paper No. 12, 27 p. (2022; Zbl 1486.65272) Full Text: DOI arXiv
Potts, D.; Schmischke, M. Learning multivariate functions with low-dimensional structures using polynomial bases. (English) Zbl 1476.65024 J. Comput. Appl. Math. 403, Article ID 113821, 19 p. (2022). MSC: 65D15 41A55 41A63 62J10 PDFBibTeX XMLCite \textit{D. Potts} and \textit{M. Schmischke}, J. Comput. Appl. Math. 403, Article ID 113821, 19 p. (2022; Zbl 1476.65024) Full Text: DOI arXiv
Ivanov, Kamen G.; Petrushev, Pencho P. Highly effective stable evaluation of bandlimited functions on the sphere. (English) Zbl 1350.65151 Numer. Algorithms 71, No. 3, 585-611 (2016). Reviewer: Xiaosheng Zhuang (Hong Kong) MSC: 65T40 33C55 42A10 42C10 65D20 65T50 PDFBibTeX XMLCite \textit{K. G. Ivanov} and \textit{P. P. Petrushev}, Numer. Algorithms 71, No. 3, 585--611 (2016; Zbl 1350.65151) Full Text: DOI
Erb, Wolfgang; Mathias, Sonja An alternative to Slepian functions on the unit sphere – a space-frequency analysis based on localized spherical polynomials. (English) Zbl 1307.42025 Appl. Comput. Harmon. Anal. 38, No. 2, 222-241 (2015). MSC: 42C10 42B05 45C05 47B36 PDFBibTeX XMLCite \textit{W. Erb} and \textit{S. Mathias}, Appl. Comput. Harmon. Anal. 38, No. 2, 222--241 (2015; Zbl 1307.42025) Full Text: DOI arXiv
Potts, Daniel; Prestin, Jürgen; Vollrath, Antje A fast algorithm for nonequispaced Fourier transforms on the rotation group. (English) Zbl 1179.65167 Numer. Algorithms 52, No. 3, 355-384 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 42C10 33C55 65Y20 PDFBibTeX XMLCite \textit{D. Potts} et al., Numer. Algorithms 52, No. 3, 355--384 (2009; Zbl 1179.65167) Full Text: DOI
Kunis, Stefan; Rauhut, Holger Random sampling of sparse trigonometric polynomials. II: Orthogonal matching pursuit versus basis pursuit. (English) Zbl 1165.94314 Found. Comput. Math. 8, No. 6, 737-763 (2008). MSC: 94A20 42A05 15B52 90C05 90C25 PDFBibTeX XMLCite \textit{S. Kunis} and \textit{H. Rauhut}, Found. Comput. Math. 8, No. 6, 737--763 (2008; Zbl 1165.94314) Full Text: DOI arXiv
Keiner, J.; Kunis, S.; Potts, D. Fast summation of radial functions on the sphere. (English) Zbl 1107.65128 Computing 78, No. 1, 1-15 (2006). Reviewer: Gerlind Plonka (Duisburg) MSC: 65T50 42C10 33C55 65B10 PDFBibTeX XMLCite \textit{J. Keiner} et al., Computing 78, No. 1, 1--15 (2006; Zbl 1107.65128) Full Text: DOI