{
  "abstract": "We prove a stronger form of Cowling's $L^p$-integrability conjecture for an admissible class of Kunze--Stein groups containing all $S$-algebraic groups and all closed CCR boundary-transitive subgroups of tree automorphism groups. We also disprove a cyclic version formulated by Samei--Wiersma.",
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  "arxiv": "2609.17052",
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  "authors": [
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      "name": "Siwei Liang"
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  "doi": "10.48550/arxiv.2609.17052",
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  "published": "2026-09-06",
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  "subjects": [
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      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
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  "title": "On Cowling's $L^p$-integrability conjecture for Kunze--Stein groups",
  "title_text": "On Cowling's L^p-integrability conjecture for Kunze--Stein groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/0nys0wbq722nk",
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