{
  "id": "2102.13006",
  "version": "v1",
  "published": "2021-02-25T17:09:58.000Z",
  "updated": "2021-02-25T17:09:58.000Z",
  "title": "Affine Quantum Harmonic Analysis",
  "authors": [
    "Eirik Berge",
    "Stine M. Berge",
    "Franz Luef",
    "Eirik Skrettingland"
  ],
  "categories": [
    "math.FA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We develop a quantum harmonic analysis framework for the affine group. This encapsulates several examples in the literature such as affine localization operators, covariant integral quantizations, and affine quadratic time-frequency representations. In the process, we develop a notion of admissibility for operators and extend well known results to the operator setting. A major theme of the paper is the interaction between operator convolutions, affine Weyl quantization, and admissibility.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-25T17:09:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81S08",
      "46E99",
      "47B93",
      "43A20"
    ],
    "keywords": [
      "affine quantum harmonic analysis",
      "affine quadratic time-frequency representations",
      "quantum harmonic analysis framework",
      "affine localization operators",
      "covariant integral quantizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}