{
  "id": "1802.00956",
  "version": "v1",
  "published": "2018-02-03T11:24:17.000Z",
  "updated": "2018-02-03T11:24:17.000Z",
  "title": "An exponential estimate for the square partial sums of multiple Fourier series",
  "authors": [
    "Grigori Karagulyan",
    "Hasmik Mkoyan"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove an exponential integral estimate for the quadratic partial sums of multiple Fourier series on large sets that implies some new properties of Fourier series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-03T11:24:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "40F05",
      "42B08"
    ],
    "keywords": [
      "multiple fourier series",
      "square partial sums",
      "exponential estimate",
      "exponential integral estimate",
      "quadratic partial sums"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}