Power-Spectrum in Redshift Space

Define the Fourier transform of the function
[Graphics:RedshiftSpaceSummarygr18.gif]
and the redshift-space power spectrum [Graphics:RedshiftSpaceSummarygr19.gif] .
We see that
[Graphics:RedshiftSpaceSummarygr20.gif] ,
with inverse relation
[Graphics:RedshiftSpaceSummarygr21.gif].
Note that the normalization convention used here makes it a factor of [Graphics:RedshiftSpaceSummarygr22.gif] smaller than a quantity with the same name used by some others.