{"paper":{"title":"A Generalization of Gajda's Equation on Commutative Topological Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"L. Sz\\'ekelyhidi, \\.Z. Fechner","submitted_at":"2014-03-09T12:26:59Z","abstract_excerpt":"In the present paper we deal with the following generalization of the sine-cosine equation \\begin{equation*} \\int f_1(x+y-t)+f_2(x-y+t) d\\mu(t)=g(x)h(y) \\end{equation*} for complex valued functions $f_1$, $f_2$, $g$ and $h$ defined on a commutative topological group $G$, where $\\mu$ is a complex measure defined on $G$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2052","kind":"arxiv","version":2},"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"}