The laplacian operator on a Riemann surface

S. J. Patterson

Compositio Mathematica (1975)

  • Volume: 31, Issue: 1, page 83-107
  • ISSN: 0010-437X

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Patterson, S. J.. "The laplacian operator on a Riemann surface." Compositio Mathematica 31.1 (1975): 83-107. <http://eudml.org/doc/89267>.

@article{Patterson1975,
author = {Patterson, S. J.},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {83-107},
publisher = {Noordhoff International Publishing},
title = {The laplacian operator on a Riemann surface},
url = {http://eudml.org/doc/89267},
volume = {31},
year = {1975},
}

TY - JOUR
AU - Patterson, S. J.
TI - The laplacian operator on a Riemann surface
JO - Compositio Mathematica
PY - 1975
PB - Noordhoff International Publishing
VL - 31
IS - 1
SP - 83
EP - 107
LA - eng
UR - http://eudml.org/doc/89267
ER -

References

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  1. [1] Elstrodt, J.: Über das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene bei Fuchsschen Gruppen zweiter Art. Dissertation, München, 1969. 
  2. [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. Zbl0239.10014MR360472
  3. [3] Elstrodt, J. und Roelcke, W.: Über das wesentliche Spektrum zum Eigenwertproblem der automorphen Formen. Manuscripta Math.11 (1974) 391-406. Zbl0275.10016MR367188
  4. [4] Gel'fand, I.M.: Automorphic functions and the theory of representations. Proc. Int. Cong. Math. Stockholm, 1962. Zbl0138.07102MR175997
  5. [5] Gel'fand, I.M., Graev, M.I. and Pyatetskii-Shapiro, I.I.: Representation theory and automorphic functions. W. B. Saunders, 1969. Zbl0177.18003MR233772
  6. [6] Patterson, S.J.: The limit set of a Fuchsian group. To appear in 'Acta Mathematica'. Zbl0336.30005MR450547
  7. [7] Patterson, S.J.: On the cohomology of Fuchsian groups. To appear in 'Glascow M.J. Zbl0317.20029MR422159
  8. [8] Patterson, S.J.: A lattice point problem in hyperbolic space. To appear in 'Mathematika'22 (1975) 81-88. Zbl0308.10013MR422160
  9. [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. Zbl0152.07705MR1513277
  10. [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. Zbl0072.08201MR88511
  11. [11] Selberg, A.: Discontinuous groups and harmonis analysis. Proc. Int. Cong. Math. Stockholm, 1962. 
  12. [12] Watson, G.N.: Asymptotic expansions of hypergeometric functions. Camb. Phil. Trans. XXII (1918) 277-308. 

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