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The Beurling-Malliavin density of a random sequence

Author(s): Kristian Seip; Alexander M. Ulanovskii
Journal: Proc. Amer. Math. Soc. 125 (1997), 1745-1749.
MSC (1991): Primary 42A61, 42C30
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Abstract: A formula is given for the completeness radius of a random exponential system $\{t^{l}e^{i\xi _{n}t}\}_{l=0,n\in {\mathbb {Z}}}^{p_{n}-1}$ in terms of the probability measures of $\xi _{n}$ .

References:

1.: A. Beurling and P. Malliavin, On the closure of characters and the zeros of entire functions, Acta Math. 118 (1967), 79-93. MR 35:654
2.: G. Chystyakov and Yu. Lyubarskii, Random perturbations of Riesz bases from exponentials, Ann. Inst. Fourier (to appear).
3.: P. Koosis, The Logarithmic Integral II, Cambridge University Press, Cambridge, 1992. MR 94i:30027
4.: K. Seip and A. Ulanovskii, Random exponential frames, J. London. Math. Soc. 53 (1996), 560-568. CMP 96:14

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Additional Information:

Kristian Seip
Affiliation: Department of Mathematical Sciences, Norwegian University of Science and Technology, N--7034 Trondheim, Norway
Email: seip@math.unit.no

Alexander M. Ulanovskii
Affiliation: School of Science and Technology, H{ø}gskolen i Stavanger, P. O. Box 2557, Ullandhaug, N--4004 Stavanger, Norway
Email: alex-u@hauk.hsr.no

DOI: 10.1090/S0002-9939-97-03750-7
PII: S 0002-9939(97)03750-7
Received by editor(s): September 8, 1995
Received by editor(s) in revised form: December 11, 1995
Additional Notes: Research supported by NATO linkage grant LG 930329.
Communicated by: J. Marshall Ash
Copyright of article: Copyright 1997, American Mathematical Society


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