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The Laplacian operator on a Riemann surface. III. (English) Zbl 0342.30011


MSC:

30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
11F03 Modular and automorphic functions
35P99 Spectral theory and eigenvalue problems for partial differential equations
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References:

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[13] W. Roelcke : Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene . I. Math. Ann. 167 (1966) 292-337, II. Math. Ann. 168 (1967) 261-324. · Zbl 0152.07705 · doi:10.1007/BF01364540
[14] A. Selberg : Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series . J. Indian Math. Soc. 20 (1956) 47-87. · Zbl 0072.08201
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[16] B. Simon : Quantum Mechanics for Hamiltonians defined as quadratic forms . Princeton, 1971. · Zbl 0232.47053
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