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 Izv. Akad. Nauk SSSR Ser. Mat., 1991, Volume 55, Issue 5, Pages 1101–1123 (Mi izv982)

Sets of uniqueness in spaces of entire functions of a single variable

B. N. Khabibullin

Abstract: A general approach is proposed for the description of sets of uniqueness in spaces of entire functions.

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English version:
Mathematics of the USSR-Izvestiya, 1992, 39:2, 1063–1084

Bibliographic databases:

UDC: 517.53
MSC: Primary 30D15, 30C15; Secondary 31A15, 31A05

Citation: B. N. Khabibullin, “Sets of uniqueness in spaces of entire functions of a single variable”, Izv. Akad. Nauk SSSR Ser. Mat., 55:5 (1991), 1101–1123; Math. USSR-Izv., 39:2 (1992), 1063–1084

Citation in format AMSBIB
\Bibitem{Kha91} \by B.~N.~Khabibullin \paper Sets of uniqueness in spaces of entire functions of a single variable \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1991 \vol 55 \issue 5 \pages 1101--1123 \mathnet{http://mi.mathnet.ru/izv982} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1149889} \zmath{https://zbmath.org/?q=an:0788.30015|0745.30028} \adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..39.1063K} \transl \jour Math. USSR-Izv. \yr 1992 \vol 39 \issue 2 \pages 1063--1084 \crossref{https://doi.org/10.1070/IM1992v039n02ABEH002237} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1992JZ92300006} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. B. N. Khabibullin, “The theorem on the least majorant and its applications. II. Entire and meromorphic functions of finite order”, Russian Acad. Sci. Izv. Math., 42:3 (1994), 479–500
2. B. N. Khabibullin, “Nonconstructive proofs of the Beurling–Malliavin theorem on the radius of completeness, and nonuniqueness theorems for entire functions”, Russian Acad. Sci. Izv. Math., 45:1 (1995), 125–149
3. B. N. Khabibullin, “Zero sets for classes of entire functions and a representation of meromorphic functions”, Math. Notes, 59:4 (1996), 440–444
4. B. N. Khabibullin, “Completeness of systems of entire functions in spaces of holomorphic functions”, Math. Notes, 66:4 (1999), 495–506
5. B. N. Khabibullin, “On the Growth of Entire Functions of Exponential Type near a Straight Line”, Math. Notes, 70:4 (2001), 560–573
6. B. N. Khabibullin, “Dual representation of superlinear functionals and its applications in function theory. II”, Izv. Math., 65:5 (2001), 1017–1039
7. V. Matsaev, I. Ostrovskii, M. Sodin, “Variations on the theme of Marcinkiewicz’ inequality”, J Anal Math, 86:1 (2002), 289
8. B. N. Khabibullin, “Growth of Entire Functions with Given Zeros and Representation of Meromorphic Functions”, Math. Notes, 73:1 (2003), 110–124
9. B. N. Khabibullin, “Criteria for (sub-)harmonicity and continuation of (sub-)harmonic functions”, Siberian Math. J., 44:4 (2003), 713–728
10. B. N. Khabibullin, “Spectral synthesis for the intersection of invariant subspaces of holomorphic functions”, Sb. Math., 196:3 (2005), 423–445
11. L. Yu. Cherednikova, “Nonuniqueness Sequences for Weighted Algebras of Holomorphic Functions in the Unit Circle”, Math. Notes, 77:5 (2005), 715–725
12. B. N. Khabibullin, “Zero subsets, representation of meromorphic functions, and Nevanlinna characteristics in a disc”, Sb. Math., 197:2 (2006), 259–279
13. B. N. Khabibullin, F. B. Khabibullin, L. Yu. Cherednikova, “Zero subsequences for classes of holomorphic functions: stability and the entropy of arcwise connectedness. I”, St. Petersburg Math. J., 20:1 (2009), 101–129
14. Xiangdong Yang, “Incompleteness of exponential system in the weighted Banach space”, Journal of Approximation Theory, 153:1 (2008), 73
15. B. N. Khabibullin, G. R. Talipova, F. B. Khabibullin, “Zero subsequences for Bernstein's spaces and the completeness of exponential systems in spaces of functions on an interval”, St. Petersburg Math. J., 26:2 (2015), 319–340
16. T. Yu. Baiguskarov, B. N. Khabibullin, “Holomorphic Minorants of Plurisubharmonic Functions”, Funct. Anal. Appl., 50:1 (2016), 62–65
17. B. N. Khabibullin, T. Yu. Baiguskarov, “The Logarithm of the Modulus of a Holomorphic Function as a Minorant for a Subharmonic Function”, Math. Notes, 99:4 (2016), 576–589
18. T. Yu. Bayguskarov, G. R. Talipova, B. N. Khabibullin, “Subsequences of zeros for classes of entire functions of exponential type, allocated by restrictions on their growth”, St. Petersburg Math. J., 28:2 (2017), 127–151
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