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Publications in Math-Net.Ru |
Citations |
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2025 |
| 1. |
Anna Zernova, Alexei Ilyin, Ari Laptev, Lukas Schimmer, “Eigenvalues of non-selfadjoint functional difference operators”, Funktsional. Anal. i Prilozhen., 59:3 (2025), 49–63  ; Funct. Anal. Appl., 59:3 (2025), 258–270  |
| 2. |
A. A. Laptev, I. A. Shcherbakov, “Spectral and functional inequalities for antisymmetric functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 2, 104–109 ; Russian Math. (Iz. VUZ), 69:2 (2025), 77–82 |
| 3. |
A. Laptev, I. A. Shcherbakov, “Spectral and functional inequalities on antisymmetric functions”, Ufimsk. Mat. Zh., 17:1 (2025), 142–153 ; Ufa Math. J., 17:1 (2025), 138–149 |
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2023 |
| 4. |
A. Laptev, O. Safronov, “Absolutely continuous spectrum of a typical Schrödinger operator with an operator-valued potential”, Algebra i Analiz, 35:1 (2023), 226–242 ; St. Petersburg Math. J., 35:1 (2024), 171–183 |
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2021 |
| 5. |
T. Hoffmann-Ostenhof, A. A. Laptev, “Hardy inequality for antisymmetric functions”, Funktsional. Anal. i Prilozhen., 55:2 (2021), 55–64   ; Funct. Anal. Appl., 55:2 (2021), 122–129  |
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| 6. |
Ari Laptev, Lukas Schimmer, “A Sharp Lieb–Thirring Inequality for Functional Difference Operators”, SIGMA, 17 (2021), 105, 10 pp. |
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2020 |
| 7. |
D. Guzu, T. Hoffmann-Ostenhof, A. Laptev, “On a class of sharp multiplicative Hardy inequalities”, Algebra i Analiz, 32:3 (2020), 180–190 ; St. Petersburg Math. J., 32:3 (2021), 523–530 |
| 8. |
A. A. Ilyin, A. A. Laptev, “Magnetic Lieb–Thirring inequality for periodic functions”, Uspekhi Mat. Nauk, 75:4(454) (2020), 207–208  ; Russian Math. Surveys, 75:4 (2020), 779–781 |
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2019 |
| 9. |
A. Ilyin, A. Laptev, “Lieb-Thirring inequalities on the sphere”, Algebra i Analiz, 31:3 (2019), 116–135 ; St. Petersburg Math. J., 31:3 (2020), 479–493 |
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| 10. |
S. V. Zelik, A. A. Ilyin, A. A. Laptev, “On the Lieb–Thirring Constant on the Torus”, Mat. Zametki, 106:6 (2019), 946–950 ; Math. Notes, 106:6 (2019), 1020–1024 |
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2018 |
| 11. |
R. L. Frank, A. Laptev, “Bound on the number of negative eigenvalues of two-dimensional Schrödinger operators on domains”, Algebra i Analiz, 30:3 (2018), 250–272 ; St. Petersburg Math. J., 30:3 (2019), 573–589 |
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2017 |
| 12. |
E. L. Korotyaev, A. Laptev, “Trace formulas for a discrete Schrödinger operator”, Funktsional. Anal. i Prilozhen., 51:3 (2017), 81–86 ; Funct. Anal. Appl., 51:3 (2017), 225–229 |
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2016 |
| 13. |
A. A. Ilyin, A. A. Laptev, “Lieb-Thirring inequalities on the torus”, Mat. Sb., 207:10 (2016), 56–79 ; Sb. Math., 207:10 (2016), 1410–1434 |
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2011 |
| 14. |
L. Aermark, A. Laptev, “Hardy's inequality for a magnetic Grushin operator with Aharonov–Bohm type magnetic field”, Algebra i Analiz, 23:2 (2011), 1–8 ; St. Petersburg Math. J., 23:2 (2012), 203–208 |
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2008 |
| 15. |
A. Gordon, J. Holt, A. Laptev, S. Molchanov, “On the Simon–Spencer theorem”, Zh. Mat. Fiz. Anal. Geom., 4:1 (2008), 108–120 |
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2000 |
| 16. |
M. Sh. Birman, A. Laptev, T. A. Suslina, “The discrete spectrum of a two-dimensional second-order periodic elliptic operator perturbed by a decreasing potential. I. A semi-infinite gap”, Algebra i Analiz, 12:4 (2000), 36–78 ; St. Petersburg Math. J., 12:4 (2001), 535–567 |
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| 17. |
A. Laptev, “The Negative Spectrum of a Class of Two-Dimensional Schrödinger Operators with Potentials Depending Only on Radius”, Funktsional. Anal. i Prilozhen., 34:4 (2000), 85–87 ; Funct. Anal. Appl., 34:4 (2000), 305–307 |
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1981 |
| 18. |
A. A. Laptev, “Spectral asymptotics of a class of Fourier integral operators.”, Tr. Mosk. Mat. Obs., 43 (1981), 92–115 |
| 19. |
A. A. Laptev, “On the estimates for singular values of the integral operators of certain class”, Zap. Nauchn. Sem. LOMI, 110 (1981), 95–99 ; J. Soviet Math., 25:1 (1984), 865–868 |
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1977 |
| 20. |
A. A. Laptev, “Spectral asymptotics of a composition of pseudodifferential operators and reflections from the boundary”, Dokl. Akad. Nauk SSSR, 236:4 (1977), 800–803 |
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1974 |
| 21. |
A. A. Laptev, “Spectral asymptotic behavior of a class of integral operators”, Mat. Zametki, 16:5 (1974), 741–750 ; Math. Notes, 16:5 (1974), 1038–1043 |
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2024 |
| 22. |
D. E. Apushkinskaya, A. A. Arkhipova, V. M. Babich, G. S. Weiss, I. A. Ibragimov, S. V. Kislyakov, N. V. Krylov, A. A. Laptev, A. I. Nazarov, G. A. Seregin, T. A. Suslina, H. Shahgholian, “On the 90th birthday of Nina Nikolaevna Uraltseva”, Uspekhi Mat. Nauk, 79:6(480) (2024), 179–192 ; Russian Math. Surveys, 79:6 (2024), 1119–1131 |
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2018 |
| 23. |
L. A. Aksent'ev, A. I. Aptekarev, A. M. Bikchentaev, V. V. Goryainov, V. N. Dubinin, A. M. Elizarov, I. R. Kayumov, A. Laptev, S. R. Nasyrov, D. V. Prokhorov, A. G. Sergeev, V. D. Stepanov, “Farit Gabidinovich Avkhadiev (on his 70th birthday)”, Uspekhi Mat. Nauk, 73:1(439) (2018), 187–190 ; Russian Math. Surveys, 73:1 (2018), 181–185 |
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2017 |
| 24. |
A. M. Vershik, E. D. Gluskin, V. A. Kozlov, A. A. Laptev, B. M. Makarov, B. S. Mityagin, P. Nevai, G. V. Rozenblum, T. A. Suslina, N. N. Ural'tseva, D. R. Yafaev, “Mikhail Zakharovich Solomyak (obituary)”, Uspekhi Mat. Nauk, 72:5(437) (2017), 181–186 ; Russian Math. Surveys, 72:5 (2017), 955–961 |
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2010 |
| 25. |
V. M. Babich, V. S. Buslaev, A. M. Vershik, S. G. Gindikin, S. V. Kislyakov, A. A. Laptev, V. A. Marchenko, N. K. Nikol'skii, L. A. Pastur, B. A. Plamenevskii, M. Z. Solomyak, T. A. Suslina, N. N. Ural'tseva, L. D. Faddeev, V. P. Khavin, D. R. Yafaev, “Mikhail Shlemovich Birman (obituary)”, Uspekhi Mat. Nauk, 65:3(393) (2010), 185–190 ; Russian Math. Surveys, 65:3 (2010), 569–575 |
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