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Book Review
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Book Information
Author(s):
Robert M. Young
Title:
An introduction to nonharmonic Fourier series
Additional book information:
Academic Press, New York, 1980, x + 246 pp., $32.00
References:
- 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 454514
- 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.
Additional Information:
Reviewer(s):
J. R.
Higgins
Review Information:
Journal:
Bull. Amer. Math. Soc.
5
(1981),
324-329.
DOI:
10.1090/S0273-0979-1981-14947-8
PII:
S 0273-0979(1981)14947-8
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