Localization and vector spherical harmonics

  title={Localization and vector spherical harmonics},
  author={J. H. von Brecht},
Abstract This paper establishes the following localization property for vector spherical harmonics: a wide class of non-local, vector-valued operators reduce to local, multiplication-type operations when applied to a vector spherical harmonic. As localization occurs in a very precise, quantifiable and explicitly computable fashion, the localization property provides a set of useful formulae for analyzing vector-valued fractional diffusion and non-local differential equations defined on S d − 1… CONTINUE READING


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