{
  "id": "math/9706216",
  "version": "v1",
  "published": "1997-06-04T00:00:00.000Z",
  "updated": "1997-06-04T00:00:00.000Z",
  "title": "Basic analog of Fourier series on a {\\large $\\que$}-quadratic grid",
  "authors": [
    "Joaquin Bustoz",
    "Sergei K. Suslov"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove orthogonality relations for some analogs of trigonometric functions on a $q$-quadratic grid and introduce the corresponding $q$-Fourier series. We also discuss several other properties of this basic trigonometric system and the $q$-Fourier series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-06-04T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fourier series",
      "quadratic grid",
      "basic analog",
      "basic trigonometric system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997math......6216B"
    }
  }
}