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Balayage Spaces on Topological Sums

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Potential Theory

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Abstract

Several authors, e.g. N. Bouleau /6/, N. Boboc and Gh. Bucur /4/, H. Ben Saad and K. Janßen /2/, A. Boukricha /5/, studied potentialtheoretic structures on topological sums and their connection uith the biharmonic spaces of E.P. Smyrnélis /10/.

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Bibliography

  1. H. Ben Saad: Exemples de noyaux admettant des résolvantes. Math. Ann. 265 (1983), p. 149–154.

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  2. H. Ben Saad, K. Janßen: Résolvantes sur les sommes d’espaces topologiques. Unpublished.

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  3. J. Bliedtner, W. Hansen: Potential theory. Springer, Berlin 1986.

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  4. N. Boboc, Gh. Bucur: Perturbations in excessive structures. In: “Complex Analysis: Fifth Romanian Finish Seminar”, LN in Math. 1014, Springer, Berlin 1983, p. 155–187.

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  5. A. Boukricha: Espaces biharmoniques. In: “Théorie du potentiel: Proceedings of the colloque J. Deny”, LN in Hath. 1096, Springer. Berlin 1984, p. 116–148.

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  6. N. Bouleau: Espaces biharmoniques et couplage de processus de Markov. 3. Math, pures et appl. 58 (1979), p. 187–240.

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  7. V. Dembinski, K. Janßen: Standard balayage spaces and standard Markov processes. In: “Potential Theory Copenhagen 1979”, LN in Math. 787, Springer, Berlin 1980, p. 84–105.

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  8. M. Meyer: Balayage-Räume und Hunt-Prozesse auf abzählbaren topologisehen Summen. Staatsexamensarbeit, Düsseldorf 1986.

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  9. H.-H. Müller: Subordination for balayage spaces. To appear.

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  10. E.P. Smyrnélis: Axiomatique des fonctions biharmoniques. I: Ann. Inst. Fourier 25 (1975), p. 35–97. II: Ann. Inst. Fourier 26 (1976), p. 1–47.

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Author information

Authors and Affiliations

  1. Institut für Statistik und Dokumentation, Univeritätsstraße 1, D-4000, Düsseldorf, Federal Republic of Germany

    Michael Meyer

Authors
  1. Michael Meyer
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Editor information

Editors and Affiliations

  1. Czechoslovak Academy of Sciences, Prague, Czechoslovakia

    Josef Král

  2. Charles University, Prague, Czechoslovakia

    Jaroslav Lukeš , Ivan Netuka  & Jiří Veselý ,  & 

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© 1988 Plenum Press, New York

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Meyer, M. (1988). Balayage Spaces on Topological Sums. In: Král, J., Lukeš, J., Netuka, I., Veselý, J. (eds) Potential Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0981-9_31

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  • DOI: https://doi.org/10.1007/978-1-4613-0981-9_31

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8276-1

  • Online ISBN: 978-1-4613-0981-9

  • eBook Packages: Springer Book Archive

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