"harmonic analysis" meaning in English

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          "name": "Mathematical analysis",
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      "glosses": [
        "A study of the representation of functions or signals as the superposition of basic waves, involving the notions of harmonic functions, trigonometric series, Fourier series, Fourier transforms, almost periodic functions, and others."
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      "id": "en-harmonic_analysis-en-noun-91Dd9itV",
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          "mathematical analysis",
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        [
          "harmonic function",
          "harmonic function"
        ],
        [
          "trigonometric series",
          "trigonometric series"
        ],
        [
          "Fourier series",
          "Fourier series"
        ],
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          "Fourier transform",
          "Fourier transform"
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          "almost periodic function",
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        "(mathematical analysis) A study of the representation of functions or signals as the superposition of basic waves, involving the notions of harmonic functions, trigonometric series, Fourier series, Fourier transforms, almost periodic functions, and others."
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      "related": [
        {
          "word": "abstract harmonic analysis"
        },
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          "word": "functional analysis"
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        "mathematical-analysis",
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          "code": "hu",
          "lang": "Hungarian",
          "sense": "a branch of mathematics",
          "word": "harmonikus analízis"
        },
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          "code": "is",
          "lang": "Icelandic",
          "sense": "a branch of mathematics",
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            "feminine"
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          "word": "sveiflugreining"
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          "sense": "a branch of mathematics",
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          "word": "Fourier-greining"
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        {
          "code": "it",
          "lang": "Italian",
          "sense": "a branch of mathematics",
          "tags": [
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          "word": "analisi armonica"
        },
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          "lang": "Japanese",
          "sense": "a branch of mathematics",
          "word": "調和解析"
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  "word": "harmonic analysis"
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  "lang_code": "en",
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    {
      "word": "abstract harmonic analysis"
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      "word": "functional analysis"
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        "A study of the representation of functions or signals as the superposition of basic waves, involving the notions of harmonic functions, trigonometric series, Fourier series, Fourier transforms, almost periodic functions, and others."
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          "mathematical analysis",
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        [
          "harmonic function",
          "harmonic function"
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          "trigonometric series",
          "trigonometric series"
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          "Fourier series",
          "Fourier series"
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          "Fourier transform",
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        "(mathematical analysis) A study of the representation of functions or signals as the superposition of basic waves, involving the notions of harmonic functions, trigonometric series, Fourier series, Fourier transforms, almost periodic functions, and others."
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    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "a branch of mathematics",
      "word": "harmonikus analízis"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "a branch of mathematics",
      "tags": [
        "feminine"
      ],
      "word": "sveiflugreining"
    },
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      "code": "is",
      "lang": "Icelandic",
      "sense": "a branch of mathematics",
      "tags": [
        "feminine"
      ],
      "word": "Fourier-greining"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "a branch of mathematics",
      "tags": [
        "feminine"
      ],
      "word": "analisi armonica"
    },
    {
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      "lang": "Japanese",
      "sense": "a branch of mathematics",
      "word": "調和解析"
    }
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  "word": "harmonic analysis"
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