Book Review
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MathSciNet review:
1568060
Full text of review:
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Book Information:
Author:
A. Decomps-Guilloux M. J. Bertin, M. Grandet-Hugot
Title:
Pisot and Salem numbers
Additional book information:
Birkh\"auser, Basel, 1992. ix + 291 pp., US$124.00. ISBN 3-7643-2648-4.
Gustave Choquet, $\theta$-fermés; $\theta$-chaînes et $\theta$-cycles (pour $\theta =3/2$), C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), no. 1, 5–10 (French, with English summary). MR 610135
Jean-Pierre Kahane and Raphaël Salem, Ensembles parfaits et séries trigonométriques, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1301, Hermann, Paris, 1963 (French). MR 0160065
Yves Meyer, Algebraic numbers and harmonic analysis, North-Holland Mathematical Library, Vol. 2, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1972. MR 0485769
Charles Pisot, La répartition modulo 1 et les nombres algébriques, Ann. Scuola Norm. Super. Pisa Cl. Sci. (2) 7 (1938), no. 3-4, 205–248 (French). MR 1556807
[5] -, Quelques aspects de la théorie des entiers algébriques, Sém. de Mathématiques Supérieures, Université de Montréal, 1963.
Raphaël Salem, Algebraic numbers and Fourier analysis, D. C. Heath and Company, Boston, Mass., 1963. MR 0157941
- [1]
- C. Choquet, Comptes rendus, C. R. Acad. Sci. Paris 290 (1980), 575-580, 719-724, 863-868; 291 (1980), 69-74, 239-244; 292 (1981), 5-10, 339-344. MR 610135 (82b:10070)
- [2]
- J. P. Kahane and R. Salem, Ensembles parfaits et séries trigonométriques, Hermann, Paris, 1963. MR 0160065 (28:3279)
- [3]
- Y. Meyer, Algebraic numbers and harmonic analysis, North-Holland, Amsterdam, 1972. MR 0485769 (58:5579)
- [4]
- Ch. Pisot, La répartition modulo l et les nombres algébriques (Thèse), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 7 (1938), 205-248. MR 1556807
- [5]
- -, Quelques aspects de la théorie des entiers algébriques, Sém. de Mathématiques Supérieures, Université de Montréal, 1963.
- [6]
- R. Salem, Algebraic numbers and Fourier analysis, Heath Math. Monographs, Heath, Boston, MA, 1963. MR 0157941 (28:1169)
Review Information:
Reviewer:
M. Mendes France
Journal:
Bull. Amer. Math. Soc.
29 (1993), 274-278
DOI:
https://doi.org/10.1090/S0273-0979-1993-00418-X