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Karol', Andrey Igorevich

Statistics Math-Net.Ru
Total publications: 10
Scientific articles: 10
Presentations: 2

Number of views:
This page:554
Abstract pages:2035
Full texts:818
References:271
Associate professor
Candidate of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person19432
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/204748

Publications in Math-Net.Ru Citations
2022
1. A. I. Karol, “Singular values of compact pseudodifferential operators of variable order with nonsmooth symbol”, Zap. Nauchn. Sem. POMI, 519 (2022),  67–104  mathnet 1
2020
2. A. I. Karol', “The singular values of compact pseudodifferential operators with spatially nonsmooth symbols”, Sibirsk. Mat. Zh., 61:4 (2020),  849–866  mathnet  elib; Siberian Math. J., 61:4 (2020), 671–686  isi  scopus 2
2019
3. A. I. Karol', “Asymptotics of the singular numbers for compact pseudodifferential operators with nonsmooth symbols with respect to spatial variables”, Funktsional. Anal. i Prilozhen., 53:4 (2019),  89–92  mathnet  mathscinet 3
1998
4. A. I. Karol', “Asymptotics of the parabolic Green function for an elliptic operator on a manifold with conical points”, Mat. Zametki, 63:1 (1998),  28–36  mathnet  mathscinet  zmath; Math. Notes, 63:1 (1998), 25–32  isi 4
1992
5. A. I. Karol', “Complex powers of the Schrödinger operator with a homogeneous, degenerate potential”, Mat. Sb., 183:1 (1992),  65–88  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 75:1 (1993), 61–83  isi
1984
6. A. I. Karol', “The zeta-function of a degenerate elliptic operator”, Mat. Sb. (N.S.), 124(166):2(6) (1984),  217–237  mathnet  mathscinet  zmath; Math. USSR-Sb., 52:1 (1985), 209–230 1
7. A. I. Karol', “Correction”, Math. USSR-Sb., 52:1 (1985), 283  mathnet
1983
8. A. I. Karol', “Operator-valued pseudodifferential operators and the resolvent of a degenerate elliptic operator”, Mat. Sb. (N.S.), 121(163):4(8) (1983),  562–575  mathnet  mathscinet  zmath; Math. USSR-Sb., 49:2 (1984), 553–567 5
1982
9. A. I. Karol', M. Z. Solomyak, “Class of differential operators with abnormal behavior of the spectrum of the Dirichlet problem”, Mat. Zametki, 31:5 (1982),  747–751  mathnet  mathscinet  zmath; Math. Notes, 31:5 (1982), 379–381  isi 3
1981
10. A. I. Karol', “On the $\zeta$-function of a degenerate elliptic Dirichlet problem”, Dokl. Akad. Nauk SSSR, 260:1 (1981),  20–22  mathnet  mathscinet  zmath 3

Presentations in Math-Net.Ru
1. Estimates and asymptotics for the spectrum of compact pseudodifferential operators of variable order.
A. I. Karol'
V. I. Smirnov Seminar on Mathematical Physics
February 12, 2024 15:30   
2. Спектральный анализ и $L_2$-малые уклонения дробных гауссовских процессов с переменным индексом Херста
A. I. Nazarov, A. I. Karol'
Seminar on Probability Theory and Mathematical Statistics
March 31, 2023 18:00

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