{
  "id": "2312.15543",
  "version": "v1",
  "published": "2023-12-24T20:00:48.000Z",
  "updated": "2023-12-24T20:00:48.000Z",
  "title": "A fundamental theorem of algebra for sums of exponentials",
  "authors": [
    "Pierce Ellingson",
    "Farhad Jafari"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "Determination of linear combination of exponential functions with unknown rate constants from its sampled values is a problem of considerable interest. Here we present a constructive and explicit solution to this problem. Moments of such linear combinations appear in this construction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-24T20:00:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26Cxx",
      "37M10",
      "42A70"
    ],
    "keywords": [
      "fundamental theorem",
      "unknown rate constants",
      "linear combinations appear",
      "explicit solution",
      "exponential functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}