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Sequences of Harmonic Functions

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Book cover Foundations of Potential Theory

Part of the book series: Die Grundlehren der Mathematischen Wissenschaften ((GL,volume 31))

Abstract

We have already found need of the fact that certain infinite series of harmonic functions converge to limiting functions which are harmonic. We are now in a position to study questions of this sort more systematically. Among the most useful is the following theorem due to Harnack1.

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© 1967 Springer-Verlag Berlin Heidelberg

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Kellogg, O.D. (1967). Sequences of Harmonic Functions. In: Foundations of Potential Theory. Die Grundlehren der Mathematischen Wissenschaften, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86748-4_10

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  • DOI: https://doi.org/10.1007/978-3-642-86748-4_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-86750-7

  • Online ISBN: 978-3-642-86748-4

  • eBook Packages: Springer Book Archive

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