Fourier transform summation of Legendre series and \(D\)-functions

DOI10.1007/BF01090814zbMath0983.86507MaRDI QIDQ5941579

T. Risbo

Publication date: 27 August 2001

Published in: Journal of Geodesy (Search for Journal in Brave)

zbMATH Keywords

spherical harmonicsLegendre functions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical methods for discrete and fast Fourier transforms (65T50) Geodesy, mapping problems (86A30) Spherical harmonics (33C55)

Related Items (5)

Fast Global Optimization on the Torus, the Sphere, and the Rotation Group ⋮ Tensor calculus in spherical coordinates using Jacobi polynomials. II: Implementation and examples ⋮ On a Fortran procedure for rotating spherical-harmonic coefficients ⋮ FFTs on the rotation group ⋮ A fast algorithm for nonequispaced Fourier transforms on the rotation group

Cites Work

• Computation of spherical harmonic expansion coefficients via FFT's
• Representations of the group of rotations of 3-dimensional space and their applications
• The Scalar Equations of Infinitesimal Elastic-Gravitational Motion for a Rotating, Slightly Elliptical Earth
• Representation of the Elastic - Gravitational Excitation of a Spherical Earth Model by Generalized Spherical Harmonics
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