{
  "id": "1902.08506",
  "version": "v1",
  "published": "2019-02-22T14:23:18.000Z",
  "updated": "2019-02-22T14:23:18.000Z",
  "title": "Discrete Fourier transform associated with generalized Schur polynomials",
  "authors": [
    "J. F. van Diejen",
    "E. Emsiz"
  ],
  "comment": "14 pages, LaTeX",
  "journal": "Proc. Amer. Math. Soc. 146 (2018), no. 8, 3459-3472",
  "doi": "10.1090/proc/14036",
  "categories": [
    "math.NA",
    "math-ph",
    "math.CO",
    "math.MP"
  ],
  "abstract": "We prove the Plancherel formula for a four-parameter family of discrete Fourier transforms and their multivariate generalizations stemming from corresponding generalized Schur polynomials. For special choices of the parameters, this recovers the sixteen classic discrete sine- and cosine transforms DST-1,...,DST-8 and DCT-1,...,DCT-8, as well as recently studied (anti-)symmetric multivariate generalizations thereof.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-22T14:23:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65T50",
      "05E05",
      "15B10",
      "42A10",
      "42B10",
      "33D52"
    ],
    "keywords": [
      "discrete fourier transform",
      "symmetric multivariate generalizations thereof",
      "cosine transforms",
      "special choices",
      "sixteen classic discrete"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}