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SPECTRAL MULTIPLICITY FOR Gln(R)

By Jonathan Huntley

Abstract

Abstract. We study the behavior of the cuspidal spectrum of T\^, where %? is associated to Gln(i?) and V is cofinite but not compact. By a technique that modifies the Lax-Phillips technique and uses ideas from wave equation techniques, if r is the dimension of JP, Na{k) is the counting function for the Laplacian attached to a Hilbert space Ha, Ma(X) is the multiplicity function, and Ho is the space of cusp forms, we obtain the following results: Theorem 1. There exists a space of functions // ' , containing all cusp forms, such tha

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.309.1630
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