Abstract
Liouville’s Theorem in complex analysis states that a bounded holo-morphic function on C is constant. A similar result holds for harmonic functions on R n. The simple proof given below is taken from Edward Nelson’s paper [7], which is one of the rare mathematics papers not containing a single mathematical symbol.
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© 1992 Springer Science+Business Media New York
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Axler, S., Bourdon, P., Ramey, W. (1992). Bounded Harmonic Functions. In: Harmonic Function Theory. Graduate Texts in Mathematics, vol 137. Springer, New York, NY. https://doi.org/10.1007/0-387-21527-1_2
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DOI: https://doi.org/10.1007/0-387-21527-1_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4899-1186-5
Online ISBN: 978-0-387-21527-3
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