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Approximating, majorizing, and extending functions defined on unbounded sets

  • IV Section Potential Theory
  • Conference paper
  • First Online:
Romanian-Finnish Seminar on Complex Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 743))

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References

  1. Brelot, M., Sur l’approximation et la convergence dans la theorie des fonctions harmoniques ou holomorphes. Bull. Soc. Math. France 73, 55–70(1945). MR 7-205.

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  2. Deny, J., Sur l’approximation der fonctions harmoniques. Bull. Soc. Math. France 73, 71–73(1945). MR 7-205.

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  3. Gauthier, P.M. and Hengartner, W., Local harmonic majorants of functions subharmonic in the unit disc. J. D’Analyse Math., 26(1973), 405–412. MR 48#8816.

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  4. Hueber, H., Doctoral dissertation, University of Bielefeld (submitted 1975).

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  5. Šaginjan, A.A., The uniform and tangential harmonic approximation of continuous functions on arbitrary sets. (Russian) Mat. Zametki 9 (1971), 131–142. MR 45#2375.

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Author information

Authors and Affiliations

  1. Université de Montréal, Montréal, Canada

    P. M. Gauthier

Authors
  1. P. M. Gauthier
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Cabiria Andreian Cazacu Aurel Cornea Martin Jurchescu Ion Suciu

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© 1979 Springer-Verlag

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Gauthier, P.M. (1979). Approximating, majorizing, and extending functions defined on unbounded sets. In: Cazacu, C.A., Cornea, A., Jurchescu, M., Suciu, I. (eds) Romanian-Finnish Seminar on Complex Analysis. Lecture Notes in Mathematics, vol 743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079525

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  • DOI: https://doi.org/10.1007/BFb0079525

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09550-7

  • Online ISBN: 978-3-540-34861-0

  • eBook Packages: Springer Book Archive

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