Mathematics – Logic
Scientific paper
Sep 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.264..439s&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Vol. 264, NO.2/SEP15, P. 439, 1993
Mathematics
Logic
20
Scientific paper
The technique of spherical harmonic analysis (SHA) retains both amplitude and phase information, and therefore provides a unified language for cosmographical and statistical studies of galaxy redshift surveys. In this work, we extend the technique of SHA to incorporate radial information and apply it to the 2-Jy Infrared Astronomical Satellite (IRAS) redshift survey. The local cosmography is illustrated in reconstructions using harmonics (Y_l_^m^) for l <= 10 in different radial shells. We also compare the IRAS galaxy quadrupole with the one detected by COBE, but we find no obvious correlation. The amplitude information is then considered separately and related to the power spectrum of primordial fluctuations. The effect of different radial weighting schemes on the inferred cosmological parameters is investigated. We show how to choose an optimal window, given a cosmological model, which maximizes signal-to-noise ratio, and discuss ways of discriminating between models. For the scales(<~ 4000 km s^-1^) probed by the 2-Jy survey we find that, if the power spectrum is normalized according to the rms fluctuations on an 800 Km s^-1^ sphere, σ_8,I_ = 0.7, on the largest scales probed by the survey (for l <~ 10) a cold dark matter (CDM) model, with a shape parameter characterized by {OMEGA}h ~ 0.2, is favoured by the data. On smaller scales (l ~> 10), the standard CDM ({OMEGA}h = 0.5) model is preferred. We show, however, that the scatter induced by redshift distortions is comparable to the difference between these two power spectra over the range of scales considered. We find that either power spectrum is an acceptable fit to the data, without recourse to scale-dependent biasing.
Lahav Ofer
Scharf Caleb. A.
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