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 language | English |
|---|---|
| Pages (from-to) | 2577-2595 |
| Number of pages | 19 |
| Journal | Duke Mathematical Journal |
| Volume | 164 |
| Issue number | 13 |
| DOIs | |
| State | Published - 2015 |
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