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References
Koosis, P., Estimating polynomials and entire functions by using their logarithmic sums over complex sequences, St.PetersburgMath.J., 13 (2002), N5, pp. 757–789.
Borichev, A. and Sodin, M., The Hamburger moment problem and weighted polynomial approximation on discrete subsets of the real line, J.Anal.Math., 76 (1998), pp. 219–264.
Koosis, P., TheLogarithmicIntegral, Vol. I, Cambridge Studies in Advanced Mathematics 12, Cambridge University Press, 1988 and 1998.
Sodin, M. and Yuditskii, P., Another approach to de Branges’ theorem on weighted polynomial approximation, in ProceedingsoftheAshkelonWorkshoponComplexFunctionTheory (May 1996), L. Zalcman, ed., IsraelMathematicalConferenceProceedings, Vol. 11, Amer. Math. Soc., Providence, R.I., 1997, pp. 221–227.
Titchmarsh, E. C., IntroductiontothetheoryofFourierintegrals, Second edition, Oxford, 1948.
Pedersen, Henryk L., Uniform estimates of entire functions by logarithmic sums, JournalofFunctionalAnalysis, 146:2 (1997), pp. 517–555.
Benedicks, M., Weighted polynomial approximation on subsets of the real line. Preprint 1981:11, Uppsala University, Mathematical Department (1981). 12 pp.
Borichev, A. and Sodin, M., Krein’s entire functions and the Bernstein approximation problem, IllinoisJournalofMathematics, 45:1, (2001), pp. 167–185.
Koosis, P. and Pedersen, H. L. Lower bounds on the values of an entire function of exponential type at certain integers, in terms of a least superharmonic majorant. AlgebraiAnaliz, 10 (1998) N3, pp. 31–44. Reprinted in St.PetersburgMath.J., 10 (1999) N3, pp. 429–439.
Koosis, P., TheLogarithmicIntegral, Vol. II, Cambridge Studies in Advanced Mathematics 21, Cambridge University Press, 1992 and 2009.
Garnett, J. and Marshall, D., Harmonicmeasure, New Mathematical Monographs 2, Cambridge University Press, 2008. (Esp. pp. 447–451).
Boas, R. P., Entirefunctions, Academic Press, 1954.
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Koosis, P. (2023). Weighted Polynomial Approximation on the Cubes of the Nonzero Integers. In: Binder, I., Kinzebulatov, D., Mashreghi, J. (eds) Function Spaces, Theory and Applications. Fields Institute Communications, vol 87. Springer, Cham. https://doi.org/10.1007/978-3-031-39270-2_14
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