Open Problem Concerning Fourier Transforms of Radial Functions in Euclidean Space and on Spheres

  • Jeremy Levesley
  • Simon Hubbert
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 137)


Let P n (λ) be the Gegenbauer polynomials, orthogonal on [−1,1] with respect to the weight (1 − t 2)λ−1/2, normalised by
$$P_n^{(\lambda )}(1) = \frac{{\Gamma (n + 2\lambda )}}{{\Gamma (2\lambda )\Gamma (n + 1)}}$$


Euclidean Space Radial Basis Function Spherical Harmonic Fourier Coefficient Approximation Theory 
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Copyright information

© Springer Basel AG 2001

Authors and Affiliations

  • Jeremy Levesley
    • 1
  • Simon Hubbert
    • 2
  1. 1.Department of Mathematics and Computer ScienceUniversity of LeicesterLeicesterEngland
  2. 2.Department of MathematicsImperial CollegeLondonEngland

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