{
  "id": "1905.12209",
  "version": "v1",
  "published": "2019-05-29T04:25:56.000Z",
  "updated": "2019-05-29T04:25:56.000Z",
  "title": "Fourier analysis associated to a vector measure on a compact group",
  "authors": [
    "Manoj Kumar",
    "N. Shravan Kumar"
  ],
  "comment": "22 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we introduce and study the Fourier transform of functions which are integrable with respect to a vector measure on a compact group (not necessarily abelian). We also study the Fourier transform of vector measures. We also introduce and study the convolution of functions from $L^p$-spaces associated to a vector measure. We prove some analogues of the classical Young's inequalities. Similarly, we also study convolution of a scalar measure and a vector measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-29T04:25:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A15",
      "43A30",
      "43A77"
    ],
    "keywords": [
      "vector measure",
      "compact group",
      "fourier analysis",
      "fourier transform",
      "study convolution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}