{
  "id": "2410.15211",
  "version": "v1",
  "published": "2024-10-19T20:52:49.000Z",
  "updated": "2024-10-19T20:52:49.000Z",
  "title": "Vector Fourier analysis on compact groups and Assiamoua spaces",
  "authors": [
    "Yaogan Mensah"
  ],
  "comment": "In memory of VSK Assiamoua",
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper shows how a family of function spaces (coined as Assiamoua spaces) plays a fundamental role in the Fourier analysis of vector-valued functions compact groups. These spaces make it possible to transcribe the classic results of Fourier analysis in the framework of analysis of vector-valued functions and vector measures. The construction of Sobolev spaces of vector-valued functions on compact groups rests heavily on the members of the aforementioned family.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-19T20:52:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vector fourier analysis",
      "assiamoua spaces",
      "vector-valued functions compact groups",
      "fundamental role",
      "sobolev spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}