The influence of Red Spiral Galaxies on the Shape of the Local K-Band
  Luminosity Function
  We have determined K-band luminosity functions for 13,325 local Universe
galaxies as a function of morphology and color (for K_tot <= 10.75). Our sample
is drawn from the 2MASS Extended Source Catalog, with all sample galaxies
having measured morphologies and distances (including 4,219 archival
redshift-independent distances). The luminosity function for our total sample
is in good agreement with previous works, but is relatively smooth at faint
magnitudes (due to bulk flow distance corrections). We investigated the
differences due to morphological and color-selection using 5,417 sample
galaxies with NASA Sloan Atlas optical colors and find that red spirals
comprise 20 to 50% of all spirals with -25 <= M_K < -20. Fainter than M_K =
-24, red spirals are as common as early-types, explaining the different faint
end slopes (alpha = -0.87 and -1.00 for red and early-types, respectively).
While we find red spirals comprise more than 50% of all M_K < -25 spiral
galaxies, they do not dominate the bright end of the overall red galaxy
luminosity function, which is dominated by early-type galaxies. The brightest
red spirals have ongoing star formation and those without are frequently
misclassified as early-types. The faintest ones have an appearance and Sersic
indices consistent with faded disks, rather than true bulge dominated galaxies.
