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Patterson, S. J.

The Laplacian operator on a Riemann surface. (English) Zbl 0321.30020

Compos. Math. 31, 83-107 (1975).
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scan of Zbl 0321.30020

Cited in 4 Reviews
Cited in 39 Documents

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:

[1] Elstrodt, J. : Über das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene bei Fuchsschen Gruppen zweiter Art . Dissertation, München, 1969.
[2] Elstrodt, J. : Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I . Math. Ann. 203 (1973) 295-330.II. Math. Z. 132 (1973) 99-134.III. Math. Ann. 208 (1974) 99-132. · Zbl 0239.10014 · doi:10.1007/BF01351910
[3] Elstrodt, J. und Roelcke, W. : Über das wesentliche Spektrum zum Eigenwertproblem der automorphen Formen . Manuscripta Math. 11 (1974) 391-406. · Zbl 0275.10016 · doi:10.1007/BF01170240
[4] Gel’Fand, I.M. : Automorphic functions and the theory of representations . Proc. Int. Cong. Math. Stockholm, 1962. · Zbl 0138.07102
[5] Gel’Fand, I.M. , Graev, M.I. and Pyatetskii-Shapiro, I.I. : Representation theory and automorphic functions . W. B. Saunders, 1969. · Zbl 0177.18003
[6] Patterson, S.J. : The limit set of a Fuchsian group . To appear in ’Acta Mathematica’. · Zbl 0336.30005 · doi:10.1007/BF02392046
[7] Patterson, S.J. : On the cohomology of Fuchsian groups . To appear in ’Glascow M.J. · Zbl 0317.20029 · doi:10.1017/S0017089500002615
[8] Patterson, S.J. : A lattice point problem in hyperbolic space . To appear in ’Mathematika’ 22 (1975) 81-88. · Zbl 0308.10013 · doi:10.1112/S0025579300004526
[9] Roelcke, W. : 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
[10] Selberg, A. : 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
[11] Selberg, A. : Discontinuous groups and harmonis analysis . Proc. Int. Cong. Math. Stockholm, 1962.
[12] Watson, G.N. : Asymptotic expansions of hypergeometric functions . Camb. Phil. Trans. XXII (1918) 277-308.
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