ScalingStacks

Proof. [044Z]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Proof.

The amoeba Im​(S)\text{Im}(S) is disjoint from the region (4.14), so Proposition 4.4 asserts the Δa\Delta_{a}-harmonicity of γi\gamma_{i}, whence the harmonicty of γ¯i\bar{\gamma}_{i}. ∎

Original mathematics by the credited authors. Source-backed reader collection; mathematical self-containment is not assessed.