Measuring Omega and the real correlation function from the redshift correlation function

Peculiar velocities distort the correlation function of galaxies in redshift space. In the linear regime, the distortion has a characteristic quadrupole plus hexadecapole form. The amplitude of the distortion depends on the cosmological density parameter {OMEGA}. Practical formulae are derived here which can be applied to redshift galaxy catalogs to measure {OMEGA} in the linear regime. The formulae also yield the real underlying correlation function in the linear regime, corrected for peculiar velocities.

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