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A remark on classification of Riemann surfaces with respect to $\Delta u = Pu$


Author: Mitsuru Nakai
Journal: Bull. Amer. Math. Soc. 77 (1971), 527-530
MSC (1970): Primary 30A48, 31B05, 35J05, 53C20
DOI: https://doi.org/10.1090/S0002-9904-1971-12739-8
Cited work: Bull. Amer. Math. Soc., Volume 77, Number 3 (1971), 381--385
MathSciNet review: 0281909
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References [Enhancements On Off] (What's this?)

  • 1. M. Glasner, R. Katz and M. Nakai, A remark on classification of Riemannian manifolds with respect to ∆u=Pu, Bull. Amer. Math. Soc. 77 (1971), 425-428. MR 276897
  • 2. M. Nakai, Dirichlet finite solutions of ∆u=Pu, and classification of Riemann surfaces, Bull. Amer. Math. Soc. 77 (1971), 381-385. MR 293083
  • 3. M. Nakai, Dirichlet finite solutions of ∆u=Pu on open Riemann surfaces, Kodai Math. Sem. Rep. (to appear). MR 304647
  • 4. M. Nakai, The equation ∆u=Pu on E P≧O, Tôhoku Math. J. (to appear).
  • 5. M. Ozawa, Classification of Riemann surfaces, Kodai Math. Sem. Rep., 1952, 63-76. MR 14, 462. MR 51322
  • 6. H. Royden, The equation ∆u=Pu and classification of open Riemann surfaces, Ann. Acad. Sci. Fenn. Ser. A I No. 271 (1959). MR 22 #12215. MR 121477
  • 7. M. Tsuji, Potential theory in modern function theory, Maruzen, Tokyo, 1959. MR 22 #5712. MR 114894

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DOI: https://doi.org/10.1090/S0002-9904-1971-12739-8

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