The laplacian operator on a Riemann surface, III

S. J. Patterson

Compositio Mathematica (1976)

  • Volume: 33, Issue: 3, page 227-259
  • ISSN: 0010-437X

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Patterson, S. J.. "The laplacian operator on a Riemann surface, III." Compositio Mathematica 33.3 (1976): 227-259. <http://eudml.org/doc/89308>.

@article{Patterson1976,
author = {Patterson, S. J.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {227-259},
publisher = {Noordhoff International Publishing},
title = {The laplacian operator on a Riemann surface, III},
url = {http://eudml.org/doc/89308},
volume = {33},
year = {1976},
}

TY - JOUR
AU - Patterson, S. J.
TI - The laplacian operator on a Riemann surface, III
JO - Compositio Mathematica
PY - 1976
PB - Noordhoff International Publishing
VL - 33
IS - 3
SP - 227
EP - 259
LA - eng
UR - http://eudml.org/doc/89308
ER -

References

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  1. [1] J. Dieudonné: Foundations of Modem Analysis. Academic Press, New York, 1960. Zbl0100.04201MR120319
  2. [2] J. Elstrodt: Über das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene bei Fuchsschen Gruppen zweiter Art. Dissertation, München, 1970. 
  3. [3] J. Elstrodt: Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil I. Math. Ann.203 (1973) 295-330,Teil II. Math. Z.132 (1973) 99-134, Teil III. Math. Ann.208 (1974) 99-132. Zbl0239.10014MR360472
  4. [4] L.D. Fadeev: Expansion in eigenfunctions of the Laplace operator on the fundamental domain of a discrete group on the Lobačevskiĭ plane. Trans. Moscow Math. Soc.17 (1967) 357-386. Zbl0201.41601
  5. [5] A. Grothendieck: La théorie de Fredholm. Sém. BOURBAKI, 1954, No. 90. Zbl0116.32602
  6. [6] S. Lang: SL2(R). Addison-Wesley, Reading, Mass., 1975. 
  7. [7] K. Maurin: Methods of Hilbert spaces. Warsaw, 1972. Zbl0166.10203MR407618
  8. [8] H. Neunhöffer: Über die analytische Fortsetzung von Poincaré -Reihen. Dissertation, Heidelberg, 1972. MR352007
  9. [9] S.J. Patterson: The Laplacian operator on a Riemann surface. Compositio Mathematica31 (1975) 83-107. Zbl0321.30020MR384702
  10. [10] S.J. Patterson: The Laplacian operator on a Riemann surface, II. Compositio Mathematica32 (1976) 71-112. Zbl0321.30021MR419364
  11. [11] S.J. Patterson: The limit set of a Fuchsian group. Acta Mathematica136 (1976) 241-273. Zbl0336.30005MR450547
  12. [12] S.J. Patterson: A lattice-point problem in hyperbolic space. Mathematica22 (1975) 81-88. Zbl0308.10013MR422160
  13. [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. Zbl0152.07705MR1513277
  14. [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. Zbl0072.08201MR88511
  15. [15] A. Selberg: Harmonic Analysis, II. Teil. (Unpublished lecture notes, Göttingen, 1954). 
  16. [16] B. Simon: Quantum Mechanics for Hamiltonians defined as quadratic forms. Princeton, 1971. Zbl0232.47053MR455975

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