Functions on the Sphere and multipole vectors

Details Functions on the Sphere and multipole vectors Functions on the Sphere and multipole vectors

Aug 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005aipc..782..296l&link_type=abstract

COSMOLOGY AND GRAVITATION: XIth Brazilian School of Cosmology and Gravitation. AIP Conference Proceedings, Volume 782, pp. 296-

Mathematics

1

Cosmic Background Radiation, Radiofrequency Cosmic Radiation, Vectors, Mathematical And Relativistic Aspects Of Cosmology, Background Radiations

Scientific paper

It has recently been suggested to represent functions on the sphere by a `` multipole vector decomposition '', rather than by the usual spherical harmonic expansion. I recall the definition and main properties of the multipole vectors, as they were introduced in the literature. I show that they are related to the harmonic projection and to the Maxwell decomposition. This allows to deduce additional properties. I extend to complex polynomials.

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