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Abuzyarova, Natal'ya Fairbakhovna
Associate professor
Candidate of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person8654
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/651068
https://orcid.org/0000-0002-2792-7995

Publications in Math-Net.Ru Citations
2025
1. N. F. Abuzyarova, Z. Yu. Fazullin, “On primary submodules in modules of entire functions that are dual to spaces of $\Omega$-ultradifferentiable functions”, Dokl. RAN. Math. Inf. Proc. Upr., 523 (2025),  3–9  mathnet  elib
2024
2. N. F. Abuzyarova, Z. Yu. Fazullin, “Invariant subspaces in non-quasianalytic spaces of $\Omega$-ultradifferentiable functions on an interval”, Eurasian Math. J., 15:3 (2024),  9–24  mathnet
3. N. F. Abuzyarova, D. V. Semenova, “On divisors in some weighted algebras of entire functions”, Vladikavkaz. Mat. Zh., 26:4 (2024),  5–20  mathnet
2023
4. N. F. Abuzyarova, “Invariant subspaces in nonquasianalytic spaces of $\Omega$-ultradifferentiable functions on an interval”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 11,  86–91  mathnet; Russian Math. (Iz. VUZ), 67:11 (2023), 75–79
5. N. F. Abuzyarova, “Perturbations of an Integer Sequence as Zero Sets of Divisors in Some Spaces of Entire Functions”, Mat. Zametki, 113:5 (2023),  633–645  mathnet  mathscinet; Math. Notes, 113:5 (2023), 613–623  scopus 5
2022
6. N. F. Abuzyarova, “On properties of functions invertible in the sense of Ehrenpreis in the Schwartz algebra”, Eurasian Math. J., 13:1 (2022),  9–18  mathnet  mathscinet  scopus 4
7. N. F. Abuzyarova, “Representation of invariant subspaces of the Schwartz space”, Mat. Sb., 213:8 (2022),  3–25  mathnet  mathscinet  zmath; Sb. Math., 213:8 (2022), 1020–1040  isi  scopus 2
2021
8. N. F. Abuzyarova, “Preserving certain classes of entire functions defined by growth restrictions along the real axis under perturbations of their zero sets”, Algebra i Analiz, 33:4 (2021),  1–31  mathnet; St. Petersburg Math. J., 33:4 (2022), 585–606 3
9. N. F. Abuzyarova, “Representation of synthesizable differentiation-invariant subspaces of the Schwartz space”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021),  5–9  mathnet  zmath  elib; Dokl. Math., 103:3 (2021), 99–102  scopus 2
10. N. F. Abuzyarova, “On condition of representing a subspace in Schwartz space invariant with respect to differentiation as direct sum of its residual and exponential components”, Ufimsk. Mat. Zh., 13:4 (2021),  3–7  mathnet; Ufa Math. J., 13:4 (2021), 3–7  isi  scopus
2020
11. N. F. Abuzyarova, A. F. Sagadieva, Z. Yu. Fazullin, “On zero sets of weakly localisable pricipal submodules in the Schwartz algebra”, Chelyab. Fiz.-Mat. Zh., 5:3 (2020),  261–270  mathnet
12. N. F. Abuzyarova, “Principal submodules in the Schwartz module”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 5,  83–88  mathnet; Russian Math. (Iz. VUZ), 64:5 (2020), 74–78  isi  scopus 4
13. Z. Yu. Fazullin, N. F. Abuzyarova, “On necessary and sufficient condition in theory of regularized traces”, Ufimsk. Mat. Zh., 12:4 (2020),  92–100  mathnet; Ufa Math. J., 12:4 (2020), 90–98  isi  scopus 1
14. N. F. Abuzyarova, “Synthesizable sequence and principle submodules in Schwartz module”, Ufimsk. Mat. Zh., 12:3 (2020),  11–21  mathnet; Ufa Math. J., 12:3 (2020), 11–21  isi  scopus
2019
15. N. F. Abuzyarova, “Shifts of a sequence of integers that generate functions invertible in the sense of Ehrenpreis”, Zap. Nauchn. Sem. POMI, 480 (2019),  5–25  mathnet 3
2018
16. N. F. Abuzyarova, K. P. Isaev, R. S. Yulmukhametov, “Equivalence of norms of analytical functions on exterior of convex domain”, Ufimsk. Mat. Zh., 10:4 (2018),  3–11  mathnet; Ufa Math. J., 10:4 (2018), 3–11  isi  scopus 1
2017
17. N. F. Abuzyarova, “Principal submodules in the module of entire functions, which is dual to the Schwartz space, and weak spectral synthesis in the Schwartz space”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 142 (2017),  14–27  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 241:6 (2019), 658–671 5
18. N. F. Abuzyarova, “Spectral Synthesis for the Differentiation Operator in the Schwartz Space”, Mat. Zametki, 102:2 (2017),  163–177  mathnet  mathscinet  elib; Math. Notes, 102:2 (2017), 137–148  isi  scopus 14
2016
19. N. F. Abuzyarova, “On $2$-generateness of weakly localizable submodules in the module of entire functions of exponential type and polynomial growth on the real axis”, Ufimsk. Mat. Zh., 8:3 (2016),  8–21  mathnet  mathscinet  elib; Ufa Math. J., 8:3 (2016), 8–21  isi  scopus 4
20. N. F. Abuzyarova, “Some properties of principal submodules in the module of entire functions of exponential type and polynomial growth on the real axis”, Ufimsk. Mat. Zh., 8:1 (2016),  3–14  mathnet  elib; Ufa Math. J., 8:1 (2016), 1–12  isi  scopus 11
2014
21. N. F. Abuzyarova, “Closed submodules in the module of entire functions of exponential type and polynomial growth on the real axis”, Ufimsk. Mat. Zh., 6:4 (2014),  3–18  mathnet; Ufa Math. J., 6:4 (2014), 3–17  scopus 10
2009
22. N. F. Abuzyarova, “Area theorem type inequality”, Ufimsk. Mat. Zh., 1:2 (2009),  3–8  mathnet  zmath 1
2002
23. N. F. Abuzyarova, “Finitely Generated Submodules in the Module of Entire Functions Determined by Restrictions on the Indicator Function”, Mat. Zametki, 71:1 (2002),  3–17  mathnet  mathscinet  zmath  elib; Math. Notes, 71:1 (2002), 3–16  isi  scopus 5
2001
24. N. F. Abuzyarova, R. S. Yulmukhametov, “Duals to weighted spaces of analytic functions”, Sibirsk. Mat. Zh., 42:1 (2001),  3–17  mathnet  mathscinet  zmath; Siberian Math. J., 42:1 (2001), 1–14  isi 7
1999
25. N. F. Abuzyarova, “A property of subspaces admitting spectral synthesis”, Mat. Sb., 190:4 (1999),  3–22  mathnet  mathscinet  zmath; Sb. Math., 190:4 (1999), 481–499  isi  scopus 7

Presentations in Math-Net.Ru
1. De Branges spaces and local description of submodules of entire functions
N. F. Abuzyarova
Probability Techniques in Analysis and Algorithms on Networks
November 25, 2025 16:50
2. Divisors in Bernstein algebra
N. F. Abuzyarova, D. V. Semenova
International conference "Theory of functions and its applications" dedicated to the 120th anniversary of S. M. Nikol'skii
July 1, 2025 11:50
3. Сдвиги целочисленной последовательности, порождающие делители в весовых алгебрах целых функций
N. F. Abuzyarova, D. V. Semenova
Theory of Functions, Operator Theory and Quantum Information Theory
June 3, 2025 15:00   
4. Lower Bounds for Entire Functions from Special Classes
N. F. Abuzyarova
International Conference "Theory of Functions, Operator Theory and Quantum Information Theory"
June 2, 2023 11:35   
5. О нулевых множествах медленно убывающих функций
N. F. Abuzyarova

November 9, 2022 15:00
6. О нулевых множествах делителей весовых пространств целых функций
N. F. Abuzyarova

November 8, 2022 17:30
7. Слабо локализуемые главные подмодули в модуле целых функций экспоненциального типа и полиномиального роста на вещественной оси
N. F. Abuzyarova
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 29, 2015 17:30

Organisations