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Sadovnichaya, Inna Viktorovna
Statistics Math-Net.Ru
Total publications: 16
Scientific articles: 15
Talks: 7

Number of views:
This page:2832
Abstract pages:8430
Full texts:3487
Talk pages:3025
Video records:354
Associate professor
Doctor of physico-mathematical sciences (2016)
E-mail:

https://www.mathnet.ru/eng/person30345
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/670280

Publications in Math-Net.Ru Citations
2023
1. A. M. Savchuk, I. V. Sadovnichaya, “Operator group generated by a one-dimensional Dirac system”, Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023),  79–81  mathnet  elib; Dokl. Math., 108:3 (2023), 490–492
2021
2. A. M. Savchuk, I. V. Sadovnichaya, “Equiconvergence of spectral decompositions for Sturm–Liouville operators with a distributional potential in scales of spaces”, Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021),  56–58  mathnet  zmath  elib; Dokl. Math., 103:1 (2021), 47–49  scopus 4
2020
3. A. M. Savchuk, I. V. Sadovnichaya, “Spectral analysis of one-dimensional Dirac system with summable potential and Sturm–Liouville operator with distribution coefficients”, CMFD, 66:3 (2020),  373–530  mathnet 7
2019
4. A. M. Savchuk, I. V. Sadovnichaya, “On the existence of an operator group generated by the one-dimensional Dirac system”, Tr. Mosk. Mat. Obs., 80:2 (2019),  275–294  mathnet  elib; Trans. Moscow Math. Soc., 80 (2019), 235–250  scopus 2
2018
5. A. M. Savchuk, I. V. Sadovnichaya, “Uniform basis property of the system of root vectors of the Dirac operator”, CMFD, 64:1 (2018),  180–193  mathnet 2
2016
6. I. V. Sadovnichaya, “Equiconvergence of spectral decompositions for the Dirac system with potential in Lebesgue spaces”, Trudy Mat. Inst. Steklova, 293 (2016),  296–324  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 293 (2016), 288–316  isi  scopus 16
2015
7. A. M. Savchuk, I. V. Sadovnichaya, “The Riesz basis property with brackets for Dirac systems with summable potentials”, CMFD, 58 (2015),  128–152  mathnet; Journal of Mathematical Sciences, 233:4 (2018), 514–540 26
2010
8. I. V. Sadovnichaya, “Equiconvergence theorems for Sturm–Lioville operators with singular potentials (rate of equiconvergence in $W_2^\theta$-norm)”, Eurasian Math. J., 1:1 (2010),  137–146  mathnet  mathscinet  zmath 8
9. I. V. Sadovnichaya, “Equiconvergence of eigenfunction expansions for Sturm-Liouville operators with a distributional potential”, Mat. Sb., 201:9 (2010),  61–76  mathnet  mathscinet  zmath  elib; Sb. Math., 201:9 (2010), 1307–1322  isi  elib  scopus 25
2008
10. I. V. Sadovnichaya, “Equiconvergence of the Trigonometric Fourier Series and the Expansion in Eigenfunctions of the Sturm–Liouville Operator with a Distribution Potential”, Trudy Mat. Inst. Steklova, 261 (2008),  249–257  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 261 (2008), 243–252  isi  elib  scopus 2
2006
11. I. V. Sadovnichaya, “A new estimate for the spectral function of the self-adjoint extension in $L^2(\mathbb R)$ of the Sturm–Liouville operator with a uniformly locally integrable potential”, Differ. Uravn., 42:2 (2006),  188–201  mathnet  mathscinet; Differ. Equ., 42:2 (2006), 202–217 4
2002
12. I. V. Sadovnichaya, “A new estimate for the approximation of solutions of the Sturm–Liouville equation with an analytic potential by partial sums of asymptotic series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 1,  10–15  mathnet  mathscinet  zmath
2001
13. I. V. Sadovnichaya, “Regularized Traces for a Class of Singular Operators”, Differ. Uravn., 37:6 (2001),  771–778  mathnet  mathscinet; Differ. Equ., 37:6 (2001), 807–815 1
2000
14. I. V. Sadovnichaya, “Direct and inverse Kolmogorov equations for the stochastic Schrödinger equation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 6,  15–20  mathnet  mathscinet  zmath
1998
15. I. V. Sadovnichaya, “About one representation of the solution of Schrödinger stochastic equation by means of an integral over the Wiener measure”, Fundam. Prikl. Mat., 4:2 (1998),  659–667  mathnet  mathscinet  zmath 2
2019
16. A. I. Aptekarev, A. M. Akhtyamov, O. V. Besov, A. A. Vladimirov, B. S. Kashin, K. A. Mirzoev, S. N. Naboko, R. O. Oinarov, I. V. Sadovnichaya, A. M. Savchuk, A. G. Sergeev, V. D. Stepanov, Ya. T. Sultanaev, D. V. Treschev, I. A. Sheipak, “Andrei Andreevich Shkalikov (on his seventieth birthday)”, Tr. Mosk. Mat. Obs., 80:2 (2019),  133–145  mathnet  elib; Trans. Moscow Math. Soc., 80 (2019), 113–122  scopus

Presentations in Math-Net.Ru
1. Operator group construction and equivalent bases in one-dimensional Dirac spectral problem
I. V. Sadovnichaya, A. M. Savchuk
Scientific seminar on the differential and functional differential equations
February 18, 2025 12:00   
2. On the operator group generated by the one-dimensional Dirac system
I. V. Sadovnichaya, A. M. Savchuk
One-Parameter Semigroups of Operators (OPSO 2023)
February 28, 2023 18:00   
3. О сходимости спектральных разложений для операторов Дирака с потенциалами из пространств Лебега
I. V. Sadovnichaya
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
February 24, 2016 16:00   
4. Равносходимость спектральных разложений для операторов Дирака с потенциалами из пространств Лебега
I. V. Sadovnichaya
Seminar on Theory of Functions of Real Variables
November 20, 2015 18:30
5. О равномерной базисности Рисса системы корневых функций системы Дирака с негладким потенциалом
I. V. Sadovnichaya
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 27, 2015 17:05
6. Asymptotic formulae for eigenvalues and eigenfunctions of Dirac system
I. V. Sadovnichaya
International Conference on Differential Equations and Dynamical Systems
July 6, 2014 11:30
7. Теоремы о равносходимости
I. V. Sadovnichaya
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
December 2, 2009 16:00

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