The Beurling-Malliavin density of a random sequence
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- by Kristian Seip and Alexander M. Ulanovskii PDF
- Proc. Amer. Math. Soc. 125 (1997), 1745-1749 Request permission
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
- Arne Beurling and Paul Malliavin, On the closure of characters and the zeros of entire functions, Acta Math. 118 (1967), 79–93. MR 209758, DOI 10.1007/BF02392477
- G. Chystyakov and Yu. Lyubarskii, Random perturbations of Riesz bases from exponentials, Ann. Inst. Fourier (to appear).
- Paul Koosis, The logarithmic integral. II, Cambridge Studies in Advanced Mathematics, vol. 21, Cambridge University Press, Cambridge, 1992. MR 1195788, DOI 10.1017/CBO9780511566202
- K. Seip and A. Ulanovskii, Random exponential frames, J. London. Math. Soc. 53 (1996), 560–568.
Additional Information
- Kristian Seip
- Affiliation: Department of Mathematical Sciences, Norwegian University of Science and Technology, N–7034 Trondheim, Norway
- MR Author ID: 158300
- Email: seip@math.unit.no
- Alexander M. Ulanovskii
- Affiliation: School of Science and Technology, Høgskolen i Stavanger, P. O. Box 2557, Ullandhaug, N–4004 Stavanger, Norway
- MR Author ID: 194862
- Email: alex-u@hauk.hsr.no
- 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 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1745-1749
- MSC (1991): Primary 42A61, 42C30
- DOI: https://doi.org/10.1090/S0002-9939-97-03750-7
- MathSciNet review: 1371141