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. 
@article{FAA_2013_47_4_a4,
     author = {D. A. Popov},
     title = {On the {Selberg} {Trace} {Formula} for {Strictly} {Hyperbolic} {Groups}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {53--66},
     publisher = {mathdoc},
     volume = {47},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2013_47_4_a4/}
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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/