{
  "id": "math/0512025",
  "version": "v1",
  "published": "2005-12-01T11:17:44.000Z",
  "updated": "2005-12-01T11:17:44.000Z",
  "title": "Pseudodifferential Operators on Stratified Manifolds",
  "authors": [
    "V. Nazaikinskii",
    "A. Savin",
    "B. Sternin"
  ],
  "comment": "36 pages, no figures",
  "journal": "Differ. Equ., 43:4 (2007), 536-549; Differ. Equ., 43:5 (2007), 704-716",
  "categories": [
    "math.AP",
    "math.FA",
    "math.OA"
  ],
  "abstract": "We consider a specific class of manifolds with singularities, namely, stratified manifolds, and describe a class of pseudodifferential operators (PsiDO) related to differential operators with degeneration of first-order with respect to the distance to the strata on such manifolds. (For manifolds with isolated singularities, this is a Fuchs type degeneration.) We restrict ourselves to the case of zero-order operators in L^2 spaces. The definition of PsiDO adopted in our approach uses induction over the number of strata in the manifold. The induction process naturally involves PsiDO with parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-01T11:17:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J40",
      "58J05",
      "32S60",
      "35S05"
    ],
    "keywords": [
      "pseudodifferential operators",
      "stratified manifolds",
      "fuchs type degeneration",
      "specific class",
      "singularities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12025N"
    }
  }
}