{"paper":{"title":"Hunt's hypothesis (H) and the triangle property of the Green function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ivan Netuka, Wolfhard Hansen","submitted_at":"2014-11-11T17:50:09Z","abstract_excerpt":"Let $X$ be a locally compact abelian group with countable base and let $\\mathcal W$ be a convex cone of positive numerical functions on $X$ which is invariant under the group action and such that $(X,\\mathcal W)$ is a balayage space or (equivalently, if $1\\in \\mathcal W$) such that $\\mathcal W$ is the set of excessive functions of a Hunt process on $X$, $\\mathcal W$ separates points, every function in $\\mathcal W$ is the supremum of its continuous minorants in $\\mathcal W$, and there exist strictly positive continuous $u,v\\in \\mathcal W$ such that $u/v\\to 0$ at infinity.\n  Assuming that there "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2900","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}