{
  "id": "1503.08174",
  "version": "v1",
  "published": "2015-03-27T18:25:07.000Z",
  "updated": "2015-03-27T18:25:07.000Z",
  "title": "An extension of a theorem of Schoenberg to products of spheres",
  "authors": [
    "J. C. Guella",
    "V. A. Menegatto",
    "Ana P. Peron"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We present a characterization for the continuous, isotropic and positive definite kernels on a product of spheres along the lines of a classical result of I. J. Schoenberg on positive definiteness on a single sphere. We also discuss a few issues regarding the characterization, including topics for future investigation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-27T18:25:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A35",
      "33C50",
      "33C55",
      "42A10",
      "42A82"
    ],
    "keywords": [
      "schoenberg",
      "characterization",
      "positive definite kernels",
      "single sphere",
      "investigation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}