Largest scales from the largest galaxy surveys: the pseudo
  Karhunen-Lo\`eve method
  The increasing area and depth of galaxy surveys will give us access to the
largest scales in the Universe and allow for a direct test of the primordial
power spectrum set by inflation. To take full advantage of the survey's volume,
we must deal with redshift space distortions, growth of structure along the
line of sight, luminosity-dependent bias, wide-angle effects and complex galaxy
selection functions. We present a thorough description of the pseudo
Karhunen-Lo\`eve method for measuring galaxy clustering, a method particularly
well-tuned for the largest scales, and extend its applicability and power by
taking into account light-cone effects, galaxy bias evolution, and by
generalizing it to anisotropic selection functions. We also show that the
combination of non-overlapping surveys result in more information than the sum
of its parts and that clustering amplitude evolution along the line of sight,
both due to galaxy bias and structure growth, must be taken into account at
scales beyond the turn-over.
