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Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 262))

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Abstract

The class of relative harmonic functions is suggested by the following trivial remark. Let (D, D) be a measurable space, and suppose that to each point ΞΎ of D is assigned some set (perhaps empty) \( \left\{ {{{\mu }_{\alpha }}(\xi , \bullet ),\alpha \in {{I}_{\xi }}} \right\} \) of probability measures on D.

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Β© 1984 Springer-Verlag New York Inc.

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Doob, J.L. (1984). The Dirichlet Problem for Relative Harmonic Functions. In: Classical Potential Theory and Its Probabilistic Counterpart. Grundlehren der mathematischen Wissenschaften, vol 262. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5208-5_8

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  • DOI: https://doi.org/10.1007/978-1-4612-5208-5_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9738-3

  • Online ISBN: 978-1-4612-5208-5

  • eBook Packages: Springer Book Archive

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