{"paper":{"title":"On a restriction problem of de Leeuw type for Laguerre multipliers","license":"","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"George Gasper Jr, Walter Trebels","submitted_at":"1994-08-31T00:00:00Z","abstract_excerpt":"In 1965 K. de Leeuw \\cite{deleeuw} proved among other things in the Fourier transform setting: {\\it If a continuous function $m(\\xi _1, \\ldots ,\\xi _n)$ on ${\\bf R}^n$ generates a bounded transformation on $L^p({\\bf R}^n),\\; 1\\le p \\le \\infty ,$ then its trace $\\tilde{m}(\\xi _1, \\ldots ,\\xi _m)=m(\\xi _1, \\ldots ,\\xi _m,0,\\ldots ,0), \\; m<n,$ generates a bounded transformation on $L^p({\\bf R}^m)$. } In this paper, the analogous problem is discussed in the setting of Laguerre expansions of different orders."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9408211","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"}