Spitzer Space Telescope - Archive Research Proposal #20394 Multi-variate Optical to Infrared Luminosity Functions of SWIRE Galaxies with Measured Redshifts Principal Investigator: Jonathan Gardner Institution: NASA's GSFC Science Category: nearby galaxies (z<0.05, v_sys<15,000 km/s) Dollars Approved: 61800.0 Abstract: Multi-variate optical to infrared luminosity functions of nearby galaxies will reveal the complex interplay between starlight, dust, and overall luminosity within the galaxy population. We propose to measure the ugriz-3-4-6-8-24 luminosity function of galaxies detected by the SWIRE survey with redshifts measured by Sloan and 2dF surveys. We will use principal component analysis to remove correlations from the resulting 10-dimensional histogram, reducing it to the most relevant 2 to 3 dimensions. The luminosity function of the principal components will show the dependence of optical to infrared colors upon luminosity, measuring a brightness-dustiness relation. We will also calculate more traditional measures of luminosity functions in the IRAC and MIPS bands.