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A regular boundary supporting representing measures of bounded functions in a Bauer harmonic space

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Bibliography

  1. H. Bauer, Harmonishe Räume und ihre Potential Theorie, Springer-Verlag, Berlin, 1966.

    CrossRef  Google Scholar 

  2. M. Brelot, Lectures on Potential Theory, Tata Institute, Bombay, 1961.

    Google Scholar 

  3. _____, Axiomatique des Fonctions Harmoniques, University of Montreal Press, Montreal, 1966.

    MATH  Google Scholar 

  4. _____, On Topologies and Boundaries in Potential Theory, Springer-Verlag, Berlin, 1971.

    CrossRef  MATH  Google Scholar 

  5. C. Constantinescu and A. Cornea, Ideale Rander Riemannsher Flächen, Springer-Verlag, Berlin, 1963.

    CrossRef  Google Scholar 

  6. K. Janssen, Martin Boundary and H p-theory of harmonic spaces, Seminar on Potential Theory II, Edited by H. Bauer, Springer Verlag, Berlin, 1971, 103–151.

    Google Scholar 

  7. P. A. Loeb, A minimal conpactification for extending continuous functions, Proc. Amer. Math. Soc. (2) 18(1967), 282–283.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. _____, Applications of nonstandard analysis to ideal boundaries in potential theory, Israel J. Math. 25(1976), 154–187.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. _____, A regular metrizable boundary for solutions of elliptic and parabolic defferential equations, to appear.

    Google Scholar 

  10. P. A. Loeb and B. Walsh, A maximal regular boundary for solutions of elliptic differential equations, Ann. Inst. Fourier (Grenoble) (1) 18(1968), 283–308.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. C. Meghea, Compactification des espaces harmoniques, Springer-Verlag, Berlin, 1971.

    CrossRef  MATH  Google Scholar 

  12. R. Phelps, Lectures on Choquet's Theorem, Van Nostrand, Princeton, 1966.

    MATH  Google Scholar 

  13. A. Robinson, Nonstandard Analysis, North-Holland, Amsterdam, 1966.

    Google Scholar 

  14. M. G. Shur, A Martin compact with a non-negligible irregular boundary point, Theor. Probability Appl. (2) 17(1972), 351–355.

    CrossRef  MATH  Google Scholar 

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© 1980 Springer-Verlag

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Loeb, P.A. (1980). A regular boundary supporting representing measures of bounded functions in a Bauer harmonic space. In: Berg, C., Forst, G., Fuglede, B. (eds) Potential Theory Copenhagen 1979. Lecture Notes in Mathematics, vol 787. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086336

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  • DOI: https://doi.org/10.1007/BFb0086336

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