Slepian functions on the sphere, generalized Gaussian quadrature rule

@article{Miranian2004SlepianFO,
  title={Slepian functions on the sphere, generalized Gaussian quadrature rule},
  author={L Miranian},
  journal={Inverse Problems},
  year={2004},
  volume={20},
  pages={877 - 892}
}
  • L Miranian
  • Published 2004
  • Mathematics, Computer Science
  • Inverse Problems
Denote by K the operator of ‘time–band–time’ limiting on the surface of the sphere and consider the problem of computing singular vectors of K. This problem can be reduced to a simpler task of computing eigenfunctions of a differential operator, if a differential operator, which commutes with K and has a simple spectrum, can be exhibited. In Grünbaum et al (1982 SIAM J. Appl. Math. 42 941–55) such a second-order differential operator commuting with K on the appropriate subspaces was constructed… 
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