"Fourier analysis" meaning in English

{
  "etymology_text": "After French mathematician and physicist Jean-Baptiste Joseph Fourier (1768–1830), a pioneer of the field.",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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          "name": "Mathematics",
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      "glosses": [
        "A field of study concerned with the representation or approximation of general functions, such as arbitrary waveforms, by sums of trigonometric functions."
      ],
      "id": "en-Fourier_analysis-en-noun-yPY4NfnK",
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        [
          "trigonometric function",
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      "raw_glosses": [
        "(mathematics) A field of study concerned with the representation or approximation of general functions, such as arbitrary waveforms, by sums of trigonometric functions."
      ],
      "related": [
        {
          "word": "Fourier series"
        },
        {
          "word": "Fourier transform"
        }
      ],
      "topics": [
        "mathematics",
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      "wikipedia": [
        "Jean-Baptiste Joseph Fourier"
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  "word": "Fourier analysis"
}

{
  "etymology_text": "After French mathematician and physicist Jean-Baptiste Joseph Fourier (1768–1830), a pioneer of the field.",
  "head_templates": [
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Fourier series"
    },
    {
      "word": "Fourier transform"
    }
  ],
  "senses": [
    {
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        "en:Mathematics"
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      "glosses": [
        "A field of study concerned with the representation or approximation of general functions, such as arbitrary waveforms, by sums of trigonometric functions."
      ],
      "links": [
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          "mathematics",
          "mathematics"
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      "raw_glosses": [
        "(mathematics) A field of study concerned with the representation or approximation of general functions, such as arbitrary waveforms, by sums of trigonometric functions."
      ],
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        "mathematics",
        "sciences"
      ],
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        "Jean-Baptiste Joseph Fourier"
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  "word": "Fourier analysis"
}