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Transformations of Fourier coefficients

Author: Frederick H. Young
Journal: Proc. Amer. Math. Soc. 3 (1952), 783-791
MSC: Primary 42.4X
MathSciNet review: 0051336
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  • [1] Richard Bellman, A note on a theorem of Hardy on Fourier constants, Bull Amer. Math. Soc. vol. 50 (1944) pp. 741-744. MR 0011137 (6:125c)
  • [2] Michael Fekete, Über Faktorenfolgen, welche die ``Klasse'' einer Fourierschen Reihe unverandert lassen, Acta Litt. ac Sci., Szeged vol. 1 (1923) pp. 148-166.
  • [3] G. H. Hardy, Notes on some points in the integral calculus, Messenger of Mathematics vol. 58 (1929) pp. 50-52.
  • [4] Einar Hille and J. D. Tamarkin, On summability of Fourier series. II, Ann. of Math. (2) vol. 34 (1933) pp. 329-348. MR 1503110
  • [5] S. Verblunsky, On some classes of Fourier series, Proc. London Math. Soc. vol. 33 (1932) pp. 287-327.
  • [6] F. H. Young, A matrix transformation of Fourier coefficients, Thesis, University of Oregon, 1950.
  • [7] Antoni Zygmund, Trigonometrical series, Warsaw-Lwów, 1935, 331 pp.

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