Harmonic functions on the lattice: Absolute monotonicity and propagation of smallness

Gabor Lippner, Dan Mangoubi

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

In this work we establish a connection between two classical notions, unrelated so far: harmonic functions on the one hand and absolutely monotonic functions on the other hand. We use this to prove convexity-type and propagation of smallness results for harmonic functions on the lattice.

Original languageAmerican English
Pages (from-to)2577-2595
Number of pages19
JournalDuke Mathematical Journal
Volume164
Issue number13
DOIs
StatePublished - 2015

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