{
  "abstract": "Let $X$ be a compact locally symmetric space of noncompact type. We prove sharp upper bounds for the $L^2\\to L^p$ operator norms of spectral projectors for joint eigenfunctions of the full ring of invariant differential operators on $X$. This improves the corresponding result of Marshall, by removing a logarithmic power loss at the critical exponent. Using the same method, we also prove the endpoint case of Mockenhaupt's $(L^2,L^p)$ Fourier restriction theorem.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29721",
  "author_total": 3,
  "authors": [
    {
      "name": "Phillip Harris"
    },
    {
      "name": "Jiaqi Hou"
    },
    {
      "name": "Xiaoqi Huang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b6bfmrfdtd297.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29721",
  "fulltext_url": null,
  "id": "b6bfmrfdtd297",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29721",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.CA"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2604|Mathematical Analysis and Transform Methods"
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  ],
  "openalex": "W7223239792",
  "pdf_url": "https://arxiv.org/pdf/2610.29721",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b6bfmrfdtd297.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.29721",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29721"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Higher rank spectral projector estimates and a Stein--Tomas restriction theorem",
  "title_text": "Higher rank spectral projector estimates and a Stein--Tomas restriction theorem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/b6bfmrfdtd297",
  "venue": "arXiv",
  "versions": []
}