Zograf, P. G. Fuchsian groups and small eigenvalues of the Laplace operator. (English) Zbl 0565.10021 J. Sov. Math. 26, 1618-1621 (1984). Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 122, 24-29 (Russian) (1982; Zbl 0536.10017). Cited in 2 Documents MSC: 11F03 Modular and automorphic functions 30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) 35P99 Spectral theory and eigenvalue problems for partial differential equations 11F70 Representation-theoretic methods; automorphic representations over local and global fields Keywords:spectral theory of automorphic functions; small eigenvalues; automorphic Laplacian; Fuchsian group of the first kind; noncompact fundamental domain Citations:Zbl 0348.53027; Zbl 0334.35022; Zbl 0536.10017 PDFBibTeX XMLCite \textit{P. G. Zograf}, J. Sov. Math. 26, 1618--1621 (1984; Zbl 0565.10021) Full Text: DOI References: [1] A. B. Venkov, ?Spectral theory of automorphic functions, the Selberg zeta-function, and some problems of analytic number theory and mathematical physics,? Usp. Mat. Nauk,34, No. 3, 69?135 (1979). · Zbl 0437.10012 [2] I. M. Gel’fand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Theory of Representations and Automorphic Functions [in Russian], Moscow (1966). [3] P. Buser, ?Riemannsche Flächen mit Eigenwerten in (0, 1/4),? Comment. Math. Helv.,52, No. 1, 25?34 (1977). · Zbl 0348.53027 · doi:10.1007/BF02567355 [4] A. Selberg, ?Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series,? J. Indian Math. Soc.,20, Nos. 1?3, 47?87 (1956). · Zbl 0072.08201 [5] S.-Y. Cheng, ?Eigenfunctions and nodal sets,? Comment. Math. Helv.,51, No. 1, 43?55 (1976). · Zbl 0334.35022 · doi:10.1007/BF02568142 [6] L. D. Faddeev, ?Expansion in eigenfunctions of the Laplace operator on a fundamental domain of a discrete group on the Lobachevskii plane,? Tr. Mosk. Mat. Obshch.,17, 323?349 (1967). · Zbl 0201.41601 [7] G. Besson, ?Sur la multiplicite de la premiere valeur propre des surfaces riemanniennes,? Ann. Inst. Fourier,30, No. 1, 109?128 (1980). · Zbl 0417.30033 · doi:10.5802/aif.777 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.