{
  "id": "1309.6566",
  "version": "v1",
  "published": "2013-09-25T16:45:43.000Z",
  "updated": "2013-09-25T16:45:43.000Z",
  "title": "Matrix Fourier transform with discontinuous coefficients",
  "authors": [
    "O. Yaremko",
    "E. Zhuravleva"
  ],
  "comment": "8 pages. arXiv admin note: text overlap with arXiv:1307.7217, arXiv:1309.6054 by other authors",
  "categories": [
    "math.CA",
    "math.NA"
  ],
  "abstract": "The explicit construction of direct and inverse Fourier's vector transform with discontinuous coefficients is presented. The technique of applying Fourier's vector transform with discontinuous coefficients for solving problems of mathematical physics.Multidimensional integral transformations with non-separated variables for problems with discontinuous coefficients are constructed in this work. The coefficient discontinuities focused on the of parallel hyperplanes. In this work explicit formulas for the kernels in the case of ideal coupling conditions are obtained; the basic identity of the integral transform is proved; technique of integral transforms is developed",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-25T16:45:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35N30",
      "35Cxx",
      "65R10"
    ],
    "keywords": [
      "discontinuous coefficients",
      "matrix fourier transform",
      "inverse fouriers vector transform",
      "work explicit formulas",
      "applying fouriers vector transform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.6566Y"
    }
  }
}