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References
S.N. Bernštein, Lecons sur les properiétes extrémales et la meilleure approximation des fonctions analytiques d'une variable réelle, Gauthier-Villars, Paris 1926.
A. Beurling, Quasianalyticity and general distributions, Lecture Notes, Stanford Univ. 1961.
A. Beurling, Analytic continuation across a linear boundary, Acta Math. 128 (1972), 153–182.
J. Brennan, Weighted polynomial approximation, quasianalyticity and analytic continuation, J. Reine Angew. Math. 357 (1985), 23–50.
L. Carleson, Interpolation by bounded analytic functions and the corona problem, Ann. Math. 76 (1962), 542–559.
E.M. Dyn'kin, Functions with a given estimate for \(\frac{{\partial f}}{{\partial \bar z}}\)and N. Levinson's theorem, Mat. Sb. 89 (1972), 182–190.
P. Koosis, Vol'berg's theorem on the logarithmic integral, Inst. Mittag-Leffler, report no. 14 (1983.)
N. Levinson, On the non-vanishing of certain functions, Proc. Nat. Acad. Sci. 22 (1936), 228–229.
N. Levinson, Gap and density theorems, Amer. Math. Soc. Colloq. Publ. 26, New York 1940.
A.L. Vol'berg, The logarithm of an almost analytic function is summable, Dokl. Akad. Nauk SSSR 265 (1982), 1297–1306.
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© 1987 Springer-Verlag
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Brennan, J.E. (1987). Functions with rapidly decreasing negative fourier coefficients. In: Berenstein, C.A. (eds) Complex Analysis I. Lecture Notes in Mathematics, vol 1275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078343
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DOI: https://doi.org/10.1007/BFb0078343
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