{
  "id": "math/0407448",
  "version": "v1",
  "published": "2004-07-27T00:13:26.000Z",
  "updated": "2004-07-27T00:13:26.000Z",
  "title": "Polynomial Interpolation on the Unit Sphere II",
  "authors": [
    "Wolfgang zu Castell",
    "Noemi Lain Fernandez",
    "Yuan Xu"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NA",
    "math.CA"
  ],
  "abstract": "The problem of interpolation at $(n+1)^2$ points on the unit sphere $\\mathbb{S}^2$ by spherical polynomials of degree at most $n$ is proved to have a unique solution for several sets of points. The points are located on a number of circles on the sphere with even number of points on each circle. The proof is based on a method of factorization of polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-07-27T00:13:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A05",
      "41A63",
      "65D05"
    ],
    "keywords": [
      "unit sphere",
      "polynomial interpolation",
      "unique solution",
      "factorization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......7448C"
    }
  }
}