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Harmonic continuation and removable singularities in the axiomatic potential theory

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References

  1. Anger, G.: Funktionalanalytische Betrachtungen bei Differentialgleichungen unter Verwendung von Methoden der Potentialtheorie. I. Berlin: Akademie-Verlag 1967

    Google Scholar 

  2. Bauer, H.: Šilovscher Rand und Dirichletsches Problem. Ann. Inst. Fourier11, 89–136 (1961)

    Google Scholar 

  3. Bauer, H.: Harmonische Räume und ihre Potentialtheorie. Lecture Notes in Mathematics 22. Berlin, Heidelberg, New York: Springer 1966

    Google Scholar 

  4. Bliedtner, J., Hansen, W.: Simplicial cones in potential theory. Invent. Math.29, 83–110 (1975)

    Google Scholar 

  5. Constantinescu, C., Cornea, A.: Potential theory on harmonic spaces. Berlin, Heidelberg, New York: Springer 1972

    Google Scholar 

  6. Harvey, R., Polking, J. C.: A notion of capacity which characterizes removable singularities. Trans. Amer. Math. Soc.169, 183–195 (1972)

    Google Scholar 

  7. Köhn, J., Sieveking, M.: Reguläre und extremale Randpunkte in der Potentialtheorie. Rev. Roum. Math. Pures Appl.12, 1489–1502 (1967)

    Google Scholar 

  8. Král, J., Lukeš, J.: Indefinite harmonic continuation. Časopis Pěst. Mat.98, 87–94 (1973)

    Google Scholar 

  9. Lukeš, J., Netuka, I.: The Wiener type solution of the Dirichlet problem in potential theory. Math. Ann.224, 173–178 (1976)

    Google Scholar 

  10. Pradelle, A. de la: Approximation et caractère de quasi-analyticité dans la théorie axiomatique des fonctions harmoniques. Ann. Inst. Fourier17, 383–399 (1967)

    Google Scholar 

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Netuka, I., Veselý, J. Harmonic continuation and removable singularities in the axiomatic potential theory. Math. Ann. 234, 117–123 (1978). https://doi.org/10.1007/BF01420962

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