On the representation of sequences as Fourier coefficients
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- by P. G. Rooney PDF
- Proc. Amer. Math. Soc. 11 (1960), 762-768 Request permission
References
- G. H. Hardy and J. E. Littlewood, Some new properties of fourier constants, Math. Ann. 97 (1927), no. 1, 159–209. MR 1512359, DOI 10.1007/BF01447865
- Edwin Hewitt, Fourier transforms of the class $\mathfrak {L}_p$, Ark. Mat. 2 (1954), 571–574. MR 61275, DOI 10.1007/BF02591230
- P. G. Rooney, On the representation of functions as Fourier transforms, Canadian J. Math. 11 (1959), 168–174. MR 110922, DOI 10.4153/CJM-1959-022-7
- David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, vol. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923 A. Zygmund, Trigonometrical series, Warsaw, 1935.
Additional Information
- © Copyright 1960 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 11 (1960), 762-768
- MSC: Primary 42.00
- DOI: https://doi.org/10.1090/S0002-9939-1960-0119033-2
- MathSciNet review: 0119033