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On the representation of functions by trigonometrical integrals

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References

  1. This theorem may be deduced without difficulty from one proved by M. Plancherel,Contribution à l'étude da la représentation d'une fonction arbitraire par des intégrales définies, Rendiconti di Palermo 30 (1910), p. 330.

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  2. H. Bohr,Zur Theorie der fast periodischen Funktionen. I.Eine Verallgemeinerung der Fourierreihen.Acta Mathematica 45 (1924), pp. 29–127. Cf. W. L. Hart,On trigonometric series, Annals of Mathematics (2),18 (1916), pp. 99–104.

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  3. Cf. H. Hahn:Über Fouriersche Reihen und Integrale, Bericht über die Jahres-(versammlung zu Innsbruck, Jahresbericht der deutschen Mathematikervereinigung,33 1925), S. 107.

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  1. Cambridge, Massachusetts

    Norbert Wiener

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  1. Norbert Wiener
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Wiener, N. On the representation of functions by trigonometrical integrals. Math Z 24, 575–616 (1926). https://doi.org/10.1007/BF01216799

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