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Results are presented on the asymptotics \\begin{align*} \\| T_f^\\lambda\\|_\\lambda &\\to \\| f\\|_\\infty\\\\ \\| T_f^\\lambda T_g^\\lambda - T_{fg}^\\lambda\\|_\\lambda &\\to 0\\\\ \\| \\frac{\\lambda}{i} [T_f^\\lambda, T_g^\\lambda] - T_{\\{f,g\\}}^\\lambda\\|_\\lambda &\\to 0 \\end{align*} for $\\lambda \\to \\infty$, where the symbols $f$ and $g$ are from suitable function spaces. Further, results on the essential spectrum of such Toeplitz operators with ce"},"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":"1901.02644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-01-09T09:15:58Z","cross_cats_sorted":[],"title_canon_sha256":"25fa2dec5cddc299c24ae0f62f49581808bee08e9d8ec34222bc777c9651aeff","abstract_canon_sha256":"6f514709dd0faefc580a252d11c2708992fc9610131f7cd65ad9f118cd2d9edd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:39.993622Z","signature_b64":"nZNTyvSVZWAFJInx8ngZfTnwKPFd1wxw0xIfcRII/aUqxWFrXrjwSoB7vxVj7SeZKipQHr6O/XekuvKgus7oBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"594459351f189e04ea13f36690f76714bbcbf7c03f4fbf16bc0421e2a8af03aa","last_reissued_at":"2026-05-17T23:56:39.992955Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:39.992955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Toeplitz operators on pluriharmonic function spaces: Deformation quantization and spectral theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Robert Fulsche","submitted_at":"2019-01-09T09:15:58Z","abstract_excerpt":"Quantization and spectral properties of Toeplitz operators acting on spaces of pluriharmonic functions over bounded symmetric domains and $\\mathbb C^n$ are discussed. Results are presented on the asymptotics \\begin{align*} \\| T_f^\\lambda\\|_\\lambda &\\to \\| f\\|_\\infty\\\\ \\| T_f^\\lambda T_g^\\lambda - T_{fg}^\\lambda\\|_\\lambda &\\to 0\\\\ \\| \\frac{\\lambda}{i} [T_f^\\lambda, T_g^\\lambda] - T_{\\{f,g\\}}^\\lambda\\|_\\lambda &\\to 0 \\end{align*} for $\\lambda \\to \\infty$, where the symbols $f$ and $g$ are from suitable function spaces. 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