Probability density of the multipole vectors for a Gaussian cosmic microwave background

  title={Probability density of the multipole vectors for a Gaussian cosmic microwave background},
  author={Mark R. Dennis and Kate R. Land},
  journal={Monthly Notices of the Royal Astronomical Society},
  • M. Dennis, K. Land
  • Published 27 April 2007
  • Physics
  • Monthly Notices of the Royal Astronomical Society
We review Maxwell's multipole vectors, and elucidate some of their mathematical properties, with emphasis on the application of this tool to the cosmic microwave background (CMB). In particular, for a completely random function on the sphere (corresponding to the statistically isotropic Gaussian model of the CMB), we derive the full probability density function of the multipole vectors. This function is used to analyse the internal configurations of the third-year Wilkinson Microwave Anisotropy… 

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