Geodesic
On the Selberg Trace Formula for Strictly Hyperbolic Groups
Funkcionalʹnyj analiz i ego priloženiâ, Tome 47 (2013) no. 4, pp. 53-66.

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We show that, for the case of strictly hyperbolic groups, the right-hand side of the Selberg trace formula admits a representation in the form of a series in the eigenvalues of the Laplacian. The behavior of the Minakshisundaram function as $t\to0$ and $t\to\infty$ is studied. Countably many conditions satisfied by the spectrum of the Laplacian are obtained in explicit form.
Keywords: Selberg formula, strictly hyperbolic group, spectrum of the Laplacian. 
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D. A. Popov. On the Selberg Trace Formula for Strictly Hyperbolic Groups. Funkcionalʹnyj analiz i ego priloženiâ, Tome 47 (2013) no. 4, pp. 53-66. http://geodesic.mathdoc.fr/item/FAA_2013_47_4_a4/

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