DOI: 10.1090/s0002-9947-1952-0047179-6. A class of nonharmonic Fourier series

10.1090/s0002-9947-1952-0047179-6

Crossref journal-article

American Mathematical Society (AMS)

Transactions of the American Mathematical Society (14)

Bibliography

Duffin, R. J., & Schaeffer, A. C. (1952). A class of nonharmonic Fourier series. Transactions of the American Mathematical Society, 72(2), 341â366. Portico.

Authors 2

R. J. Duffin (first)
A. C. Schaeffer (additional)

References 11 Referenced 1,311

10.1112/jlms/s1-14.4.242 / J. London Math. Soc. / A trigonometric moment problem by Boas, R. P., Jr. (1939)
{'key': '2', 'first-page': '148', 'article-title': 'Entire functions bounded on a line', 'volume': '6', 'author': 'Boas, R. P., Jr.', 'year': '1940', 'journal-title': 'Duke Math. J.', 'ISSN': 'http://id.crossref.org/issn/0012-7094', 'issn-type': 'print'} / Duke Math. J. / Entire functions bounded on a line by Boas, R. P., Jr. (1940)
10.2307/2371530 / Amer. J. Math. / A general moment problem by Boas, R. P., Jr. (1941)
10.2307/1990351 / Trans. Amer. Math. Soc. / A class of sequences of functions by Bourgin, D. G. (1946)
10.1090/S0002-9904-1942-07797-4 / Bull. Amer. Math. Soc. / Some notes on an expansion theorem of Paley and Wiener by Duffin, R. J. (1942)
10.2307/2371922 / Amer. J. Math. / Power series with bounded coefficients by Duffin, R. J. (1945)
{'key': '7', 'first-page': '45', 'article-title': 'On the completeness of systems of analytic functions {𝐹(𝑎_{𝑘}𝑧)}', 'volume': '13', 'author': 'Ibragimov, I. I.', 'year': '1949', 'journal-title': 'Izvestiya Akad. Nauk SSSR. Ser. Mat.', 'ISSN': 'http://id.crossref.org/issn/0373-2436', 'issn-type': 'print'} / Izvestiya Akad. Nauk SSSR. Ser. Mat. / On the completeness of systems of analytic functions {𝐹(𝑎_{𝑘}𝑧)} by Ibragimov, I. I. (1949)
10.1090/coll/026 / Gap and Density Theorems / American Mathematical Society Colloquium Publications, Vol. 26 by Levinson, Norman (1940)
10.1090/coll/019 / Fourier transforms in the complex domain / American Mathematical Society Colloquium Publications by Paley, Raymond E. A. C. (1987)
M. Plancherel and G. Pólya, Functions entières et intégrales de Fourier multiples, Comment. Math. Helv. vol. 10 (1937-1938) pp. 110-163. (10.1007/BF01214286)
E. C. Titchmarsh, The theory of functions, Oxford, 1932, chap. III.

Dates

Type	When
Created	15 years, 2 months ago (June 30, 2010, 4:16 p.m.)
Deposited	3 years, 9 months ago (Nov. 10, 2021, 4:45 p.m.)
Indexed	1 day, 22 hours ago (Aug. 29, 2025, 6:26 a.m.)
Issued	73 years, 7 months ago (Jan. 1, 1952)
Published	73 years, 7 months ago (Jan. 1, 1952)
Published Online	73 years, 7 months ago (Jan. 1, 1952)

Funders 0

None

BibTeX

@article{Duffin_1952, title={A class of nonharmonic Fourier series}, volume={72}, ISSN={1088-6850}, url={http://dx.doi.org/10.1090/s0002-9947-1952-0047179-6}, DOI={10.1090/s0002-9947-1952-0047179-6}, number={2}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Duffin, R. J. and Schaeffer, A. C.}, year={1952}, pages={341–366} }

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