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Harmonic morphisms

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Complex Analysis Joensuu 1978

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 747))

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References

  1. Brelot, M.: Lectures on potential theory. Tata Institute of Fundamental Research, Bombay (1960).

    MATH  Google Scholar 

  2. Constanvinescu, C., Cornea, A.: Compactifications of harmonic spaces. Nagoya math. J. 25 (1965), 1–57.

    Article  MathSciNet  MATH  Google Scholar 

  3. Eells, J., Sampson, J. H.: Harmonic mappings of Riemannian manifolds. Amer. J. Math. 86 (1964), 109–160.

    Article  MathSciNet  MATH  Google Scholar 

  4. Forst, G.: Symmetric harmonic groups and translation invariant Dirichlet spaces. Inventiones math. 18 (1972), 143–182.

    Article  MathSciNet  MATH  Google Scholar 

  5. Fuglede, B.: Finely harmonic mappings and finely holomorphic functions. Ann. Acad. Sci. Fenn. Ser. A I 2 (1976), 113–127.

    MathSciNet  MATH  Google Scholar 

  6. Fuglede, B.: Harmonic morphisms between Riemannian manifolds. Ann. Inst. Fourier 28,2 (1978), 107–144.

    Article  MathSciNet  MATH  Google Scholar 

  7. Greene, R. E., Wu, H.: Embedding of open Riemannian manifolds by harmonic functions. Ann. Inst. Fourier 25,1 (1975), 215–235.

    Article  MathSciNet  MATH  Google Scholar 

  8. Hervé, R.-M.: Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel. Ann. Inst. Fourier 12 (1962), 415–571.

    Article  MathSciNet  MATH  Google Scholar 

  9. Janssen, K.: A co-fine domination principle for harmonic spaces. Math. Z. 141 (1975), 185–191.

    Article  MathSciNet  MATH  Google Scholar 

  10. Sibony, D.: Allure à la frontière minimale d'une classe de transformations. Théorème de Doob généralisé. Ann. Inst. Fourier 18,2 (1968), 91–120.

    Article  MathSciNet  MATH  Google Scholar 

  11. Gehring, F.W., Haahti, H.: The transformations which preserve the harmonic functions. Ann. Acad. Sci. Fenn. Ser. A I 293 (1960).

    Google Scholar 

  12. Ishihara, T.: A mapping of Riemannian manifolds which preserves harmonic functions. Manuscript.

    Google Scholar 

  13. Watson, B.: Manifold maps commuting with the Laplacian. J. diff. Geometry 8 (1973), 85–94.

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Matematiske Institut, Københavns Universitet, Universitetsparken 5, DK-2100, København ø, Danmark

    Bent Fuglede

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  1. Bent Fuglede
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Ilpo Laine Olli Lehto Tuomas Sorvali

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© 1979 Springer-Verlag

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Fuglede, B. (1979). Harmonic morphisms. In: Laine, I., Lehto, O., Sorvali, T. (eds) Complex Analysis Joensuu 1978. Lecture Notes in Mathematics, vol 747. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063964

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  • DOI: https://doi.org/10.1007/BFb0063964

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09553-8

  • Online ISBN: 978-3-540-34859-7

  • eBook Packages: Springer Book Archive

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