Spherical harmonic reconstruction of cosmic density and velocity fields.

Details Spherical harmonic reconstruction of cosmic density and velocity fields. Spherical harmonic reconstruction of cosmic density and velocity fields.

Jun 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994sucg.conf...37l&link_type=abstract

Workshop on Studying the Universe with Clusters of Galaxies, p. 37 - 46

Computer Science

Universe: Galaxy Clustering, Universe: Redshift Surveys, Universe: Large-Scale Structure

Scientific paper

The orthonormal set of Spherical Harmonics (Yim) provides a natural way of expanding whole-sky redshift and peculiar velocity surveys. This decomposition retains both amplitude and phase information, hence providing a unified language to describe the local cosmography as well as the power-spectrum of the galaxy density and velocity fields. The author applies the method to IRAS projected and redshift surveys, to investigate redshift distortion and the value of Ω0, and to explore the Puppis cluster hidden behind the Galactic Plane. He further discusses the choice of radial function and the estimation of the coefficients in 3-D, and the removal of shot-noise and correction for incomplete sky-coverage by a "Wiener filter". The data compressed by the harmonic decomposition can then be analysed by Artificial Neural Networks in comparison with simulations.

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