{
  "id": "1504.00777",
  "version": "v1",
  "published": "2015-04-03T08:30:19.000Z",
  "updated": "2015-04-03T08:30:19.000Z",
  "title": "Nonharmonic analysis of boundary value problems",
  "authors": [
    "Michael Ruzhansky",
    "Niyaz Tokmagambetov"
  ],
  "comment": "47 pages",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "In this paper we develop the global symbolic calculus of pseudo-differential operators generated by a boundary value problem for a given (not necessarily self-adjoint or elliptic) differential operator. For this, we also establish elements of a non-self-adjoint distribution theory and the corresponding biorthogonal Fourier analysis. We give applications of the developed analysis to obtain a-priori estimates for solutions of operators that are elliptic within the constructed calculus.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-03T08:30:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J40",
      "35S05",
      "35S30",
      "42B05"
    ],
    "keywords": [
      "boundary value problem",
      "nonharmonic analysis",
      "global symbolic calculus",
      "corresponding biorthogonal fourier analysis",
      "non-self-adjoint distribution theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150400777R"
    }
  }
}