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Any of a family of theorems relating decay properties of a function or distribution at infinity with analyticity of its Fourier transform

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dbo:description
  • mathematischer Satz (de)
  • teorema (ca)
  • théorème qui relie les propriétés de décroissance à l’infini d’une fonction (ou d’une distribution) avec l’analyticité de sa transformée de Fourier (fr)
  • any of a family of theorems relating decay properties of a function or distribution at infinity with analyticity of its Fourier transform (en)
  • 푸리에 변환이 해석 함수일 조건에 대한 정리 (ko)
  • フーリエ変換が解析関数であるための条件に関する定理 (ja)
  • una teorema que relacione las propiedades de decremento en el infinito de una función (o distribución) con la analticidad de su transformada de Fourier (es)
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dbp:mathStatement
  • An entire function on is the Fourier–Laplace transform of a distribution of compact support if and only if for all , : for some constants , , . The distribution in fact will be supported in the closed ball of center and radius . (en)
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  • Schwartz's theorem (en)
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  • Paley–Wiener theorem (en)
  • Satz von Paley-Wiener (de)
  • Teorema de Paley–Wiener (es)
  • Théorème de Paley-Wiener (fr)
  • Teorema di Paley-Wiener (it)
  • Теорема Пэли — Винера (ru)
  • Condição de Paley-Wiener (pt)
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