Transformations of Fourier coefficients
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- by Frederick H. Young
- Proc. Amer. Math. Soc. 3 (1952), 783-791
- DOI: https://doi.org/10.1090/S0002-9939-1952-0051336-8
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References
- Richard Bellman, A note on a theorem of Hardy on Fourier constants, Bull. Amer. Math. Soc. 50 (1944), 741–744. MR 11137, DOI 10.1090/S0002-9904-1944-08230-X Michael Fekete, Über Faktorenfolgen, welche die “Klasse” einer Fourierschen Reihe unverandert lassen, Acta Litt. ac Sci., Szeged vol. 1 (1923) pp. 148-166. G. H. Hardy, Notes on some points in the integral calculus, Messenger of Mathematics vol. 58 (1929) pp. 50-52.
- Einar Hille and J. D. Tamarkin, On the summability of Fourier series. II, Ann. of Math. (2) 34 (1933), no. 2, 329–348. MR 1503110, DOI 10.2307/1968206 S. Verblunsky, On some classes of Fourier series, Proc. London Math. Soc. vol. 33 (1932) pp. 287-327. F. H. Young, A matrix transformation of Fourier coefficients, Thesis, University of Oregon, 1950. Antoni Zygmund, Trigonometrical series, Warsaw-Lwów, 1935, 331 pp.
Bibliographic Information
- © Copyright 1952 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 3 (1952), 783-791
- MSC: Primary 42.4X
- DOI: https://doi.org/10.1090/S0002-9939-1952-0051336-8
- MathSciNet review: 0051336