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Funktsional'nyi Analiz i ego Prilozheniya, 2013, Volume 47, Issue 4, Pages 53–66
DOI: https://doi.org/10.4213/faa3128 (Mi faa3128) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Selberg Trace Formula for Strictly Hyperbolic Groups

D. A. Popov

A. N. Belozersky Institute of Physico-Chemical Biology, M. V. Lomonosov Moscow State University
Full-text PDF (190 kB) Citations (4)
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DOI: https://doi.org/10.4213/faa3128
Abstract: 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.
Received: 04.07.2011
English version:
Functional Analysis and Its Applications, 2013, Volume 47, Issue 4, Pages 290–301
DOI: https://doi.org/10.1007/s10688-013-0036-6
Bibliographic databases:
Document Type: Article
UDC: 517.984.5
Language: Russian
Citation: D. A. Popov, “On the Selberg Trace Formula for Strictly Hyperbolic Groups”, Funktsional. Anal. i Prilozhen., 47:4 (2013), 53–66; Funct. Anal. Appl., 47:4 (2013), 290–301
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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