{
  "id": "math/0610096",
  "version": "v2",
  "published": "2006-10-03T02:04:03.000Z",
  "updated": "2008-08-14T18:23:10.000Z",
  "title": "Spectral multipliers for Schroedinger operators with Poeschl-Teller potential",
  "authors": [
    "Shijun Zheng"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "We prove a sharp Mihlin-Hormander multiplier theorem for Schroedinger operators $H$ on $\\R^n$. The method, which allows us to deal with general potentials, improves Hebisch's method relying on heat kernel estimates for positive potentials. Our result applies to, in particular, the negative Poeschl-Teller potential $V(x)= -\\nu(\\nu+1) \\sech^2 x $, $\\nu\\in \\N$, for which $H$ has a resonance at zero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-08-14T18:23:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "35J10"
    ],
    "keywords": [
      "schroedinger operators",
      "spectral multipliers",
      "sharp mihlin-hormander multiplier theorem",
      "heat kernel estimates",
      "general potentials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10096Z"
    }
  }
}