{
  "id": "0901.1967",
  "version": "v2",
  "published": "2009-01-14T09:44:49.000Z",
  "updated": "2009-01-28T14:38:09.000Z",
  "title": "Edge-degenerate families of $Ψ$Do's on an infinite cylinder",
  "authors": [
    "Jamil Abed",
    "Bert Wolfgang Schulze"
  ],
  "comment": "Keywords. Edge-degenerate operators, parameter-dependent pseudo-differential operators, norm estimates with respect to a parameter",
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish a parameter-dependent pseudo-differential calculus on an infinite cylinder, regarded as a manifold with conical exits to infinity. The parameters are involved in edge-degenerate form, and we formulate the operators in terms of operator-valued amplitude functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-01-28T14:38:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S35",
      "35J70"
    ],
    "keywords": [
      "infinite cylinder",
      "edge-degenerate families",
      "parameter-dependent pseudo-differential calculus",
      "edge-degenerate form",
      "operator-valued amplitude functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0901.1967A"
    }
  }
}