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The eigenvalue spectrum as moduli for compact Riemann surfaces


Author: Scott Wolpert
Journal: Bull. Amer. Math. Soc. 83 (1977), 1306-1308
MSC (1970): Primary 30A46, 30A58, 20H10; Secondary 53C25
DOI: https://doi.org/10.1090/S0002-9904-1977-14425-X
MathSciNet review: 0499329
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  • 2. L. Ehrenpreis, An eigenvalue problem for Riemann surfaces, Ann. of Math. Studies 66 (1971), 131-140. MR 447562
  • 3. I. M. Gel'fand, Automorphic functions and the theory of representations, Proc. internat. Congr. Math., Stockholm, 1962, pp. 74-85. MR 175997
  • 4. I. M. Gel'fand, M. I. Graev and I. I. Pyatetskii-Shapiro, Representation theory and automorphic functions, W. B. Saunders, Philadelphia, 1969. MR 233772
  • 5. H. P. McKean, Selberg's trace formula as applied to a compact Riemann surface, Comm. Pure Appl. Math. 25 (1972), 225-246. MR 473166
  • 6. D. Mumford, A remark on Mahler's compactness theorem, Proc. Amer. Math. Soc., 28 (1971), 289-294. MR 276410
  • 7. R. Schoen, S. Wolpert and S. T, Yau, Estimates for the first eigenvalue of a Riemann surface (preprint).
  • 8. 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. MR 88511

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DOI: https://doi.org/10.1090/S0002-9904-1977-14425-X

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