Book Review
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MathSciNet review:
1567336
Full text of review:
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Book Information:
Author:
Robert M. Young
Title:
An introduction to nonharmonic Fourier series
Additional book information:
Academic Press, New York, 1980, x + 246 pp., $32.00.
J. Marshall Ash, Multiple trigonometric series, Studies in harmonic analysis (Proc. Conf., DePaul Univ., Chicago, Ill., 1974) MAA Stud. Math., Vol. 13, Math. Assoc. Amer., Washington, D.C., 1976, pp. 76–96. MR 0454514
2. A. V. Balakrishnan, On the problem of time jitter in sampling, IRE Trans. Inform. Theory IT-8 (1962), 226-236.
William M. Brown, Sampling with random jitter, J. Soc. Indust. Appl. Math. 11 (1963), 460–473. MR 152098
Charles Fefferman, The multiplier problem for the ball, Ann. of Math. (2) 94 (1971), 330–336. MR 296602, DOI 10.2307/1970864
G. H. Hardy, Notes on special systems of orthogonal functions. IV. The orthogonal functions of Whittaker’s cardinal series, Proc. Cambridge Philos. Soc. 37 (1941), 331–348. MR 5145, DOI 10.1017/s0305004100017977
J. R. Higgins, A sampling theorem for irregularly spaced sample points, IEEE Trans. Inform. Theory IT-22 (1976), no. 5, 621–622. MR 416736, DOI 10.1109/tit.1976.1055596
John Rowland Higgins, Completeness and basis properties of sets of special functions, Cambridge University Press, Cambridge-New York-Melbourne, 1977. Cambridge Tracts in Mathematics, No. 72. MR 0499341
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
J. L. Walsh, A generalization of the Fourier cosine series, Trans. Amer. Math. Soc. 22 (1921), no. 2, 230–239. MR 1501172, DOI 10.1090/S0002-9947-1921-1501172-2
11. K. Yao and J. B. Thomas, On some stability and interpolatory properties of nonuniform sampling expansions, IEEE Trans. Circuit Theory CT-14 (1967), 404-408.
- 1.
- J. M. Ash, Multiple trigonometric series, Studies in Harmonic Analysis, M.A.A. Studies in Mathematics, vol. 13, J. M. Ash (ed. ), Math. Assoc. of America, 1976. MR 0454514
- 2.
- A. V. Balakrishnan, On the problem of time jitter in sampling, IRE Trans. Inform. Theory IT-8 (1962), 226-236.
- 3.
- W. M. Brown, Sampling with random jitter, J. Soc. Indust. Appl. Math. 11 (1963), 460-473. MR 152098
- 4.
- C. Fefferman, The multiplier problem for the ball, Ann. of Math. 94 (1971), 330-336. MR 296602
- 5.
- G. H. Hardy, Notes on special systems of orthogonal functions, I, Proc. Cambridge Philos. Soc. 37 (1941), 331-348. MR 5145
- 6.
- J. R. Higgins, A sampling theorem for irregularly spaced sample points, IEEE Trans. Inform. Theory IT-22 (1976), 621-623. MR 416736
- 7.
- J. R. Higgins, Completeness and basis properties of sets of special functions, Cambridge Univ. Press, Cambridge, 1977. MR 499341
- 8.
- N. Levinson, Gap and density theorems, Amer. Math. Soc. Colloq. Publ., no. 26, Amer. Math. Soc., New York, 1940. MR 3208
- 9.
- R. E. A. C. Paley and N. Wiener, Fourier transforms in the complex domain, Amer. Math. Soc. Colloq. Publ., no. 19, Amer. Math. Soc., New York, 1934. MR 1451142
- 10.
- J. L. Walsh, A generalisation of the Fourier cosine series, Trans. Amer. Math. Soc. 22 (1921), 230-239. MR 1501172
- 11.
- K. Yao and J. B. Thomas, On some stability and interpolatory properties of nonuniform sampling expansions, IEEE Trans. Circuit Theory CT-14 (1967), 404-408.
Review Information:
Reviewer:
J. R. Higgins
Journal:
Bull. Amer. Math. Soc.
5 (1981), 324-329
DOI:
https://doi.org/10.1090/S0273-0979-1981-14947-8
