We extend the real-space mapping method developed in Shi et al .
( 43 ) so that it can be applied to flux-limited galaxy samples .
We use an ensemble of mock catalogs to demonstrate the reliability of this extension , showing that it allows for an accurate recovery of the real-space correlation functions and galaxy biases .
We also demonstrate that , using an iterative method applied to intermediate-scale clustering data , we can obtain an unbiased estimate of the growth rate of structure f \sigma _ { 8 } , which is related to the clustering amplitude of matter , to an accuracy of \sim 10 \% .
Applying this method to the Sloan Digital Sky Survey ( SDSS ) Data Release 7 ( DR7 ) , we construct a real-space galaxy catalog spanning the redshift range 0.01 \leq z \leq 0.2 , which contains 584,473 galaxies in the north Galactic cap ( NGC ) .
Using this data , we infer f \sigma _ { 8 } = 0.376 \pm 0.038 at a median redshift z = 0.1 , which is consistent with the WMAP9 cosmology at the 1 \sigma level .
By combining this measurement with the real-space clustering of galaxies and with galaxy-galaxy weak lensing measurements for the same sets of galaxies , we are able to break the degeneracy between f , \sigma _ { 8 } , and b .
From the SDSS DR7 data alone , we obtain the following cosmological constraints at redshift z = 0.1 : f = 0.464 ^ { +0.040 } _ { -0.040 } , \sigma _ { 8 } = 0.769 ^ { +0.121 } _ { -0.089 } ~ { } , and b = 1.910 ^ { +0.234 } _ { -0.268 } , 1.449 ^ { +0.194 } _ { -0.196 } , 1.301 ^ { +0.170 } _ { -0.177 } , and 1.196 ^ { +0.159 } _ { -0.161 } ~ { } for galaxies within different absolute magnitude bins \ > { } ^ { 0.1 } { M } _ { r } -5 \log h = [ -23 , 0 , -22.0 ] , [ -22 , 0 , -21.0 ] , [ -21.0 , -20.0 ] and [ -20.0 , -19.0 ] , respectively .