Spin-Weighted Spherical Harmonics

  • G. F. Torres del Castillo
Part of the Progress in Mathematical Physics book series (PMP, volume 32)


The spherical harmonics can be defined in various ways; they are eigenfunctions of the Laplace-Beltrami operator of the sphere and they are the angular part of the separable solutions in spherical coordinates of the Laplace equation in Euclidean space. Another useful characterization is given by the following result.


Spherical Harmonic Homogeneous Polynomial Wigner Function Jacobi Polynomial Angular Part 
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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • G. F. Torres del Castillo
    • 1
  1. 1.Instituto de CienciasUniversidad Autonoma de PueblaPueblaMexico

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