{
  "id": "2405.07160",
  "version": "v1",
  "published": "2024-05-12T04:44:44.000Z",
  "updated": "2024-05-12T04:44:44.000Z",
  "title": "Singular Integrals associated with Reflection Groups on Euclidean Space",
  "authors": [
    "Yongsheng Han",
    "Ji Li",
    "Chaoqiang Tan",
    "Zipeng Wang",
    "Xinfeng Wu"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In the field of harmonic analysis, geometric considerations are frequently crucial. Specially, group actions such as translations, dilations and rotations on Euclidean space are instrumental. The objective of this paper is to extend the study of singular integrals to include the effects of group reflections on Euclidean space, and to establish the T1 theorem for these singular integrals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-12T04:44:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "euclidean space",
      "singular integrals",
      "reflection groups",
      "t1 theorem",
      "geometric considerations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}