1. Asymptotically Contained Representations and the Spherical Plancherel Formula Open Access Author: Tan, Qijun Title: Asymptotically Contained Representations and the Spherical Plancherel Formula Graduate Program: Mathematics Keywords: Plancherel formularepresentation of semi-simple Lie groupssymplectic geometrynoncommutative geometryharmonic analysisC^*-algebra File: Download master.pdf Committee Members: Nigel David Higson, Dissertation Advisor/Co-AdvisorNigel David Higson, Committee Chair/Co-ChairPaul Frank Baum, Committee MemberPing Xu, Committee MemberMurat Gunaydin, Outside Member