Mathematics
Scientific paper
Jul 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995aipc..336..381t&link_type=abstract
Dark matter. AIP Conference Proceedings, Volume 336, pp. 381-385 (1995).
Mathematics
Mathematical Procedures And Computer Techniques, Distances, Redshifts, Radial Velocities, Spatial Distribution Of Galaxies
Scientific paper
In a recent study, we have developed new techniques for analyzing galaxy redshift surveys. The radial distortion introduced by peculiar velocities and the spherical geometry of the survey motivates a Fourier-like expansion of the density field in spherical Bessel functions and spherical harmonics. The power of this technique is that the distortion can be included exactly (to linear order), and the spectral nature of the expansion means that one can isolate and analyze linear modes. For these reasons we have a formalism for treating redshift surveys which avoids the approximations and inaccuracies which have beset previous treatments of this problem, and maximizes the measurable wavelength range. Exploiting the formalism statistically we can use the observed galaxy distribution to estimate the distortion parameter of redshift space, β≡Ω0.60/b, and the amplitude of fluctuations, quantified by σ8. We have applied the method to the 1.2-Jy redshift survey and find that β=1.1+/-0.3, and σ8,IRAS=0.68+/-0.05 in real space. These methods have been developed further to measure the real space power spectrum, free from distortion, and for application to 2-D ``slices'' in redshift space.
Heavens Alan F.
Taylor Andy N.
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