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A class of nonharmonic Fourier series. (English) Zbl 0049.32401


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[1] R. P. Boas Jr., A trigonometric moment problem, J. London Math. Soc. 14 (1939), 242 – 244. · doi:10.1112/jlms/s1-14.4.242
[2] R. P. Boas Jr., Entire functions bounded on a line, Duke Math. J. 6 (1940), 148 – 169.
[3] R. P. Boas Jr., A general moment problem, Amer. J. Math. 63 (1941), 361 – 370. · doi:10.2307/2371530
[4] D. G. Bourgin, A class of sequences of functions, Trans. Amer. Math. Soc. 60 (1946), 478 – 518. · Zbl 0061.13404
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[7] I. I. Ibragimov, On the completeness of systems of analytic functions {\?(\?_{\?}\?)}, Izvestiya Akad. Nauk SSSR. Ser. Mat. 13 (1949), 45 – 54 (Russian). · Zbl 0036.18403
[8] Norman Levinson, Gap and Density Theorems, American Mathematical Society Colloquium Publications, v. 26, American Mathematical Society, New York, 1940. · Zbl 0145.08003
[9] 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. · Zbl 0011.01601
[10] M. Plancherel and G. Pólya, Functions entières et intégrales de Fourier multiples, Comment. Math. Helv. vol. 10 (1937-1938) pp. 110-163. · Zbl 0018.15204
[11] E. C. Titchmarsh, The theory of functions, Oxford, 1932, chap. III. · Zbl 0005.21004
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