A class of nonharmonic Fourier series
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- by R. J. Duffin and A. C. Schaeffer PDF
- Trans. Amer. Math. Soc. 72 (1952), 341-366 Request permission
References
- R. P. Boas Jr., A trigonometric moment problem, J. London Math. Soc. 14 (1939), 242–244. MR 312, DOI 10.1112/jlms/s1-14.4.242
- R. P. Boas Jr., Entire functions bounded on a line, Duke Math. J. 6 (1940), 148–169. MR 1295
- R. P. Boas Jr., A general moment problem, Amer. J. Math. 63 (1941), 361–370. MR 3848, DOI 10.2307/2371530
- D. G. Bourgin, A class of sequences of functions, Trans. Amer. Math. Soc. 60 (1946), 478–518. MR 20168, DOI 10.1090/S0002-9947-1946-0020168-0
- R. J. Duffin and J. J. Eachus, Some notes on an expansion theorem of Paley and Wiener, Bull. Amer. Math. Soc. 48 (1942), 850–855. MR 7173, DOI 10.1090/S0002-9904-1942-07797-4
- R. J. Duffin and A. C. Schaeffer, Power series with bounded coefficients, Amer. J. Math. 67 (1945), 141–154. MR 11322, DOI 10.2307/2371922
- I. I. Ibragimov, On the completeness of systems of analytic functions $\{F(a_kz)\}$, Izvestiya Akad. Nauk SSSR. Ser. Mat. 13 (1949), 45–54 (Russian). MR 0029445
- Norman Levinson, Gap and Density Theorems, American Mathematical Society Colloquium Publications, Vol. 26, American Mathematical Society, New York, 1940. MR 0003208
- Raymond E. A. C. Paley and Norbert Wiener, Fourier transforms in the complex domain, American Mathematical Society Colloquium Publications, vol. 19, American Mathematical Society, Providence, RI, 1987. Reprint of the 1934 original. MR 1451142, DOI 10.1090/coll/019 M. Plancherel and G. Pólya, Functions entières et intégrales de Fourier multiples, Comment. Math. Helv. vol. 10 (1937-1938) pp. 110-163. E. C. Titchmarsh, The theory of functions, Oxford, 1932, chap. III.
Additional Information
- © Copyright 1952 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 72 (1952), 341-366
- MSC: Primary 42.4X
- DOI: https://doi.org/10.1090/S0002-9947-1952-0047179-6
- MathSciNet review: 0047179