TY - JOUR
T1 - Harmonic functions on the lattice
T2 - Absolute monotonicity and propagation of smallness
AU - Lippner, Gabor
AU - Mangoubi, Dan
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84945912796&partnerID=8YFLogxK
U2 - 10.1215/00127094-3164790
DO - 10.1215/00127094-3164790
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AN - SCOPUS:84945912796
SN - 0012-7094
VL - 164
SP - 2577
EP - 2595
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 13
ER -