The Selberg trace formula. V. Questions of trace class

Osborne, M. Scott; Warner, Garth

doi:10.1090/S0002-9947-1984-0756044-9

The Selberg trace formula. V. Questions of trace class
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by M. Scott Osborne and Garth Warner

Trans. Amer. Math. Soc. 286 (1984), 351-376

DOI: https://doi.org/10.1090/S0002-9947-1984-0756044-9

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Abstract:

The purpose of this paper is to develop criteria which will ensure that the $K$-finite elements of $C_c^\infty (G)$ are represented on $L_{{\text {dis}}}^2(G/\Gamma )$ by trace class operators.

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