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A class of extremal functions for the Fourier transform. (English) Zbl 0483.42007


MSC:

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
11N35 Sieves
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References:

[1] K. Chandresekharan, Introduction to analytic number theory, Springer, Berlin, 1968.
[2] Harold G. Diamond, Changes of sign of \?(\?)-\?\? \?, Enseignement Math. (2) 21 (1975), no. 1, 1 – 14. · Zbl 0304.10025
[3] H. Halberstam and H.-E. Richert, Sieve methods, Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], London-New York, 1974. London Mathematical Society Monographs, No. 4. · Zbl 0298.10026
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[5] Hugh L. Montgomery, The analytic principle of the large sieve, Bull. Amer. Math. Soc. 84 (1978), no. 4, 547 – 567. · Zbl 0408.10033
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[8] Atle Selberg, Remarks on sieves, Proceedings of the Number Theory Conference (Univ. Colorado, Boulder, Colo., 1972) Univ. Colorado, Boulder, Colo., 1972, pp. 205 – 216. · Zbl 0341.10041
[9] Atle Selberg, Remarks on multiplicative functions, Number theory day (Proc. Conf., Rockefeller Univ., New York, 1976), Springer, Berlin, 1977, pp. 232 – 241. Lecture Notes in Math., Vol. 626.
[10] Norbert Wiener, The Fourier integral and certain of its applications, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1988. Reprint of the 1933 edition; With a foreword by Jean-Pierre Kahane. · Zbl 0656.42001
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