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Huber, Heinz

Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen. (German) Zbl 0089.06101

Math. Ann. 138, 1-26 (1959).
Reviewer: F. van der Blij (Utrecht)
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0089.06101

Cited in 7 Reviews
Cited in 83 Documents

MSC:

30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)

Keywords:

homotopy classes; closed paths; closed analytic Riemann surface; hyperbolic space forms; motion groups; automorphic function; functional equation; Laplace-Beltrami differential operator
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Full Text: DOI EuDML

References:

[1] Bohr, H.: Zur Theorie der fast periodischen Funktionen. I. Acta math.45, 29-127 (1925). · JFM 50.0196.01 · doi:10.1007/BF02395468
[2] Doetsch, G.: Handbuch der Laplace-Transformation. I. Basel: Birkhäuser 1950. · Zbl 0040.05901
[3] Hilbert, D.: Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen. Leipzig und Berlin: B. G. Teubner 1912. · JFM 43.0423.01
[4] Huber, H.: Über eine neue Klasse automorpher Funktionen und ein Gitterpunktproblem in der hyperbolischen Ebene. Comment. Math. Helv.30, 20-62 (1956). · Zbl 0065.31603 · doi:10.1007/BF02564331
[5] Magnus, W., u.F. Oberhettinger: Formeln und Sätze ... Berlin: Springer 1943.
[6] Minakshisundaram, S., andA. Pleijel: Some properties of the eigenfunctions of the Laplace-Operator on Riemannian Manifolds. Canad. J. Math.1, 242-256 (1949). · Zbl 0041.42701 · doi:10.4153/CJM-1949-021-5
[7] Seifert, H., u.W. Threlfall: Lehrbuch der Topologie. Leipzig: B. G. Teubner 1934. · JFM 60.0496.05
[8] Weyl, H.: Die Idee der Riemannschen Fläche. 3. Aufl. Stuttgart: B. G. Teubner 1955. · Zbl 0068.06001
[9] Wiener, N.: Tauberian Theorems. Ann. of Math.33, 1-100 (1932). · JFM 58.0226.02 · doi:10.2307/1968102
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