{
  "id": "2302.05199",
  "version": "v1",
  "published": "2023-02-10T12:05:53.000Z",
  "updated": "2023-02-10T12:05:53.000Z",
  "title": "Weight Ergodic Theorems for Probability Measures on Locally Compact Groups",
  "authors": [
    "H. S. Mustafayev"
  ],
  "comment": "15 Pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $G$ be a locally compact group with the left Haar measure $m_{G}$. A probability measure ${\\mu}$ on $G$ is said to be strictly aperiodic if the support of ${\\mu}$ is not contained in a proper closed left coset of $G$. In this paper, we prove weight ergodic theorems for strictly aperiodic measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-10T12:05:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A33",
      "43A10",
      "43A30",
      "43A77"
    ],
    "keywords": [
      "weight ergodic theorems",
      "locally compact group",
      "probability measure",
      "left haar measure",
      "proper closed left coset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}