{"paper":{"title":"Discrete Fourier restriction associated with Schrodinger equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.CA","authors_text":"Xiaochun Li, Yi Hu","submitted_at":"2011-08-17T18:42:35Z","abstract_excerpt":"In this paper, we present a different proof on the discrete Fourier restriction.   The proof recovers Bourgain's level set result on Strichartz estimates associated with   Schr\\\"odinger equations on torus. Some sharp estimates on $L^{\\frac{2(d+2)}{d}}$ norm of  certain exponential sums in higher dimensional cases are established. As an application,   we show that some discrete multilinear maximal functions are bounded on $L^2(\\mathbb Z)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5164","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"}