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

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Abstract

Throughout this chapter D is a Greenian subset of ℝN, coupled with a boundary •D provided by a metric compactification when a boundary is relevant, and the boundary of a subset of ℝN is that relative to the compactification. In most of the discussion the nature of the boundary is irrelevant, and •D can be taken, for example, as the Euclidean boundary or one-point boundary of D.

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© 1984 Springer-Verlag New York Inc.

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Doob, J.L. (1984). The Sweeping Operation. 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_10

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  • DOI: https://doi.org/10.1007/978-1-4612-5208-5_10

  • 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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