Deprojecting Densities from Angular Cross-Correlations

We present a model-independent, spherically symmetric density estimator to be used in the cross-correlation of imaging catalogs with objects of known redshift. The estimator is a simple modification of the usual projected density estimator, with weightings that produce a spherical aperture rather than a cylindrical one.

[1]  R. Scranton.  Modelling galaxy clustering by colour , 2001, astro-ph/0108266.

[2]  S.Cole,et al.  The 2dF Galaxy Redshift Survey: spectra and redshifts , 2001, astro-ph/0106498.

[3]  B. Moore,et al.  Do Clusters Contain a Large Population of Dwarf Galaxies? , 2000, astro-ph/0009230.

[4]  Walter A. Siegmund,et al.  The Sloan Digital Sky Survey: Technical Summary , 2000, astro-ph/0006396.

[5]  D. Eisenstein,et al.  Correlations in the Spatial Power Spectrum Inferred from Angular Clustering , 1999, astro-ph/9912149.

[6]  E. Gaztañaga,et al.  Inverting the angular correlation function , 1999, astro-ph/9906289.

[7]  D. Lambas,et al.  The Luminosity Function of Galaxies in Clusters , 1997 .

[8]  J. Loveday.  The Local Space Density of Dwarf Galaxies , 1997, astro-ph/9703022.

[9]  A. Hamilton,et al.  Towards optimal measurement of power spectra - I. Minimum variance pair weighting and the Fisher matrix , 1997, astro-ph/9701008.

[10]  S. White,et al.  The distribution of satellite galaxies , 1994 .

[11]  G. Bernstein.  The Variance of Correlation Function Estimates , 1994 .

[12]  Carlton M. Baugh,et al.  The three-dimensional power spectrum measured from the APM Galaxy Survey – I. Use of the angular correlation function , 1993 .

[13]  M. Rowan-Robinson,et al.  The spatial correlation function of IRAS galaxies on small and intermediate scales , 1992 .

[14]  A. Sandage,et al.  The Small-Scale Clustering Properties of Dwarf Galaxies , 1991 .

[15]  H. Ferguson,et al.  Population Studies in Groups and Clusters of Galaxies. IV. Comparison of the Luminosity Functions and Morphological-Type Distributions in Seven Nearby Groups , 1991 .

[16]  P. Lilje,et al.  The Cross-Correlation of Abell Clusters with the Lick Galaxy Counts , 1988 .

[17]  R. Green,et al.  Surveys of Fields around Quasars. IV. Luminosity of Galaxies at Z approximately equal to 0.6 and Preliminary Evidence for the Evolution of the Environment of Radio-loud Quasars , 1987 .

[18]  S. Phillipps,et al.  Galaxy correlations and the luminosity function , 1987 .

[19]  S. Phillipps.  A method for determining the spatial correlation function from a sample with partial distance information , 1985 .

[20]  P. Peebles,et al.  The Large-Scale Structure of the Universe , 1980 .

[21]  J. Huchra,et al.  The local mean mass density of the universe - New methods for studying galaxy clustering , 1978 .

[22]  Phillip James Edwin Peebles,et al.  Statistical analysis of catalogs of extragalactic objects. VII. Two- and three-point correlation functions for the high-resolution Shane-Wirtanen catalog of galaxies , 1977 .

[23]  S. M. Fall,et al.  On estimating correlations in the spatial distribution of galaxies , 1977 .

[24]  D. F. Hays,et al.  Table of Integrals, Series, and Products , 1966 .

[25]  D. Eisenstein,et al.  Correlations in the Spatial Power Spectra Inferred from Angular Clustering: Methods and Application to the Automated Plate Measuring Survey , 2001 .

[26]  E. Gaidos.  The Galaxy Luminosity Function from Observations of Twenty Abell Clusters , 1997 .