Coordinate-space picture and $x \to 1$ singularities at fixed $k_\perp$

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We discuss ongoing progress towards precise characterizations of parton distributions at fixed transverse momentum, focusing on matrix elements in coordinate space and the treatment of endpoint singularities.
Based on talks given at the "HERA and the LHC" Workshop (Hamburg, March 2007) and at the "DIS07" Workshop (Munich, April 2007)

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