{
  "id": "1508.07476",
  "version": "v1",
  "published": "2015-08-29T16:49:27.000Z",
  "updated": "2015-08-29T16:49:27.000Z",
  "title": "Convolution of probability measures on Lie groups and homogenous spaces",
  "authors": [
    "Ming Liao"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study (weakly) continuous convolution semigroups of probability measures on a Lie group G or a homogeneous space G/K, where K is a compact subgroup. We show that such a convolution semigroup is the convolution product of its initial measure and a continuous convolution semigroup with initial measure at the identity of G or the origin of G/K. We will also obtain an extension of Dani-McCrudden's result on embedding an infinitely divisible probability measure in a continuous convolution semigroup on a Lie group to a homogeneous space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-29T16:49:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B15"
    ],
    "keywords": [
      "lie group",
      "continuous convolution semigroup",
      "homogenous spaces",
      "initial measure",
      "compact subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150807476L"
    }
  }
}