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If the dyadic matrix entries admit off-diagonal kernels satisfying the chamber $L^2$ H\\\"ormander condition $\\operatorname{CH}^2_{s,\\eta}$ with $s>N_\\kappa/2$, then the original multiplier is bounded on $L^p(\\mathbb R^N,d\\omega)$ for every $1<p<\\infty$.\n  For the product reflection group $\\Sigma_N=A_1^N\\simeq\\mathbb Z_2^N$ this chamber condition foll"},"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":"2606.01130","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2026-05-31T10:02:44Z","cross_cats_sorted":[],"title_canon_sha256":"6f9e832f7778320f16a885e1d337450cab32b8c7927b77a7a61ae67b93452df6","abstract_canon_sha256":"8923e4f917a29a41965e4c51437bda449d1c5fe3c5c919f6b56cf81324bbb84c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T02:04:24.357533Z","signature_b64":"1jMOf0rYmdBCVYQkfQA4/EKWUeFuKdF5hPNXPgfkgLU4k29wK7lq3jUoBjT5TMGIQ1hPcMGvs39UXSs5zZcECg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5c95059a787e0987239fa0aa6a3477ed871dfaa11e98aa3580853254bdac5d2","last_reissued_at":"2026-06-02T02:04:24.357060Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T02:04:24.357060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chamber lifting and non-radial Dunkl multipliers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Chaojie Wen, Der-Chen Chang, Ji Li, Liangchuan Wu","submitted_at":"2026-05-31T10:02:44Z","abstract_excerpt":"We study non-radial Dunkl multipliers via chamber lifting. 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