{
  "id": "1505.04731",
  "version": "v1",
  "published": "2015-05-18T17:40:03.000Z",
  "updated": "2015-05-18T17:40:03.000Z",
  "title": "Hypercyclic behavior of some non-convolution operators on $H(\\mathbb{C}^N)$",
  "authors": [
    "Santiago Muro",
    "Damián Pinasco",
    "Martín Savransky"
  ],
  "categories": [
    "math.FA",
    "math.CV",
    "math.DS"
  ],
  "abstract": "We study hypercyclicity properties of a family of non-convolution operators defined on spaces of holomorphic functions on $\\mathbb{C}^N$. These operators are a composition of a differentiation operator and an affine composition operator, and are analogues of operators studied by Aron and Markose on $H(\\mathbb{C})$. The hypercyclic behavior is more involved than in the one dimensional case, and depends on several parameters involved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-18T17:40:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hypercyclic behavior",
      "study hypercyclicity properties",
      "affine composition operator",
      "dimensional case",
      "differentiation operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150504731M"
    }
  }
}