{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/restriction-theorems-and-strichartz","title":"Restriction theorems and Strichartz inequalities for the Laguerre operator involving orthonormal functions","arxiv_id":"2205.10360","date":"2022-05-20","proceeding":null,"authors":["Guoxia Feng","Manli Song"],"abstract":"In this paper, we prove restriction theorems for the Fourier-Laguerre transform and establish Strichartz estimates for the Schr\\\"{o}dinger propagator $e^{-itL_\\alpha}$ for the Laguerre operator $L_\\alpha=-\\Delta-\\sum_{j=1}^{n}(\\dfrac{2\\alpha_j+1}{x_j}\\dfrac{\\partial}{\\partial x_j})+\\dfrac{|x|^2}{4}$, $\\alpha=(\\alpha_1,\\alpha_2,\\cdots,\\alpha_n)\\in{(-\\frac{1}{2},\\infty)^n}$ on $\\mathbb{R}_+^n$ involving systems of orthonormal functions.","url_abs":"https://arxiv.org/abs/2205.10360v1","url_pdf":"https://arxiv.org/pdf/2205.10360v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"restriction-theorems-and-strichartz","repo_url":"https://github.com/meicrs/gdsrec","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"pytorch","reach":{"status":"ok","spdx":"GPL-3.0"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}