{"paper":{"title":"Stochastic processes and their spectral representations over non-archimedean fields","license":"","headline":"","cross_cats":["math.FA"],"primary_cat":"math.PR","authors_text":"S.V. Ludkovsky","submitted_at":"2008-01-08T11:30:02Z","abstract_excerpt":"The article is devoted to stochastic processes with values in finite- and infinite-dimensional vector spaces over infinite fields $\\bf K$ of zero characteristics with non-trivial non-archimedean norms. For different types of stochastic processes controlled by measures with values in $\\bf K$ and in complete topological vector spaces over $\\bf K$ stochastic integrals are investigated. Vector valued measures and integrals in spaces over $\\bf K$ are studied. Theorems about spectral decompositions of non-archimedean stochastic processes are proved."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.1209","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"}