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We present a method to measure the Hubble parameter $H(z)$ and the angulardiameter distance $D_A(z)$ simultaneously from the two-dimensional matter powerspectrum from galaxy surveys with broad sky coverage. We validate this methodby applying it to the LasDamas mock galaxy catalogs. Then we apply this methodto Sloan Digital Sky Survey (SDSS) Data Release 7 and obtain measurements of$\Omega_mh^2=0.1268 \pm 0.0085$, $H(z=0.35)=81.3\pm 3.8$km/s/Mpc, $D_A(z=0.35)= 1037\pm44$Mpc, without assuming a dark energy model or a flat universe. Wealso find that the derived parameters $H(0.35)r_s(z_d)/c=0.0431 \pm 0.0018$ and$D_A(0.35)/r_s(z_d)=6.48 \pm 0.25$. These are in excellent agreement withsimilar measurements from the two-dimensional correlation function of the samedata.

Measurement of $H(z)$ and $D_A(z)$ from the two-dimensional power spectrum of Sloan Digital Sky Survey luminous red galaxies