The spherical harmonic spectrum of a function with algebraic singularities
DOI10.1007/s00041-012-9236-3zbMath1262.33012OpenAlexW1998488660WikidataQ59902241 ScholiaQ59902241MaRDI QIDQ1934657
Publication date: 29 January 2013
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://eprints.whiterose.ac.uk/76449/13/11085_with_coversheet.pdf
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Rate of convergence, degree of approximation (41A25) Algorithms for approximation of functions (65D15) Fourier series and coefficients in several variables (42B05) Spherical harmonics (33C55) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms
- Asymptotic expansion of Fourier coefficients associated to functions with low continuity
- Successive elimination of shear layers by a hierarchy of constraints in inviscid spherical-shell flows
- Asymptotic expansions of Legendre series coefficients for functions with interior and endpoint singularities
- The resolution of the Gibbs phenomenon for spherical harmonics
- The Blasius Function: Computations Before Computers, the Value of Tricks, Undergraduate Projects, and Open Research Problems
- Approximation Results for Orthogonal Polynomials in Sobolev Spaces
- On the Convergence Rate of Generalized Fourier Expansions
- On the Uniform Convergence of Generalized Fourier Series
- Spectral Methods and Their Applications
- Spectral Methods
- The Evaluation and Estimation of the Coefficients in the Chebyshev Series Expansion of a Function
