{
  "id": "1612.06231",
  "version": "v1",
  "published": "2016-12-19T15:42:44.000Z",
  "updated": "2016-12-19T15:42:44.000Z",
  "title": "On traces of Fourier integral operators localized at a finite set of points",
  "authors": [
    "P. A. Sipailo"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "Given a smooth embedding of manifolds $i: X \\hookrightarrow M$ and a Fourier integral operator $\\Phi$ acting on $M$, obtained by quantization of a canonical transformation, consider its trace $i^!(\\Phi)$ on $X$ (in the sense of relative theory). We discuss the situation when $i^!(\\Phi)$ has the form of a Fourier--Mellin operator and, in particular, is localized at a finite set of points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-19T15:42:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J40"
    ],
    "keywords": [
      "fourier integral operator",
      "finite set",
      "fourier-mellin operator",
      "canonical transformation",
      "quantization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}