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In this paper we are interested in the domain of the the self-adjoint operator associated with the quadratic form \\begin{gather} (\\psi,\\varphi)\\mapsto \\int_\\Omega\\langle\\nabla_H\\psi,\\nabla_H\\varphi\\rangle_Hd\\nu\\qquad\\psi,\\varphi\\in W^{1,2}(\\Omega,\\nu).\\qquad\\qquad (\\star) \\end{ga"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1706.05260","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-15T08:19:08Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"0bd54b732103ee6f678fb626f183ad19b70780df39854f2f98ec0ef2278dab10","abstract_canon_sha256":"9cc5d73a87dc358070333557928a4176aab6be29968862db65e8363d49cf1cf8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:46:56.690962Z","signature_b64":"Q17jGisnfaLXF9v8PRsoyrSFYaMzX/L+KLeh0A9JcptOsL9zB7WaXT3WeUIGbUpNayRoxg+OBScFKYZ3b3dSDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00d2833641daf3e81d170572b231d310c756ac709be44254472973a9ebe72c6d","last_reissued_at":"2026-07-05T02:46:56.690368Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:46:56.690368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the domain of elliptic operators defined in subsets of Wiener spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"D. 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