{
  "id": "2505.10061",
  "version": "v1",
  "published": "2025-05-15T08:04:40.000Z",
  "updated": "2025-05-15T08:04:40.000Z",
  "title": "On Wiener's Lemma on locally compact abelian groups",
  "authors": [
    "Philippe Jaming",
    "Karim Kellay",
    "Rolando Perez Iii"
  ],
  "categories": [
    "math.CA",
    "math.CV",
    "math.FA"
  ],
  "abstract": "We establish a general form of Wiener's lemma for measures on locally compact abelian (LCA) groups by using Fourier analysis and the theory of F{{\\o}}lner sequences. Our approach provides a unified framework that that encompasses both the discrete and continuous cases. We also show a version of Wiener's lemma for Bochner-Riesz means on both R^d and T^d . Mathematics Subject Classification (2010). 43A25.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-15T08:04:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "locally compact abelian groups",
      "wieners lemma",
      "mathematics subject classification",
      "fourier analysis",
      "general form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}