We perform a tomographic structure growth and expansion rate analysis using the monopole , quadrupole and hexadecapole of the redshift-space galaxy power spectrum derived from the Sloan Digital Sky Survey ( SDSS-III ) Baryon Oscillation Spectroscopic Survey ( BOSS ) Data Release 12 combined sample , which covers the redshift range of 0.20 < z < 0.75 .
By allowing for overlap between neighbouring redshift slices in order to extract information on the light-cone , we successfully obtain joint BAO and RSD constraints with a precision of 2 - 3 \% for D _ { A } , 3 - 10 \% for H and 9 - 12 \% for f \sigma _ { 8 } with a redshift resolution of \Delta z \sim 0.04 .
Our measurement is consistent with that presented in \citet WangRSD , where the analysis is performed in configuration space .
We apply our measurement to constrain the f ( R ) gravity model , and find that the 95 % CL upper limit of { log _ { 10 } } B _ { 0 } can be reduced by 11 % by our tomographic BAO and RSD measurement .
We make our joint BAO and RSD measurement publicly available at https : //github.com/Alice-Zheng/RSD-data