Persons: Laptev, Ari Arievich

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Laptev, Ari Arievich

Statistics Math-Net.Ru
Total publications:	21
Scientific articles:	18
Presentations:	4

Number of views:
This page:	3697
Abstract pages:	8407
Full texts:	2477
References:	724

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https://www.mathnet.ru/eng/person63051

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https://mathscinet.ams.org/mathscinet/MRAuthorID/292869

	Publications in Math-Net.Ru	Citations
	2023
1.	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
	2021
2.	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	3
3.	Ari Laptev, Lukas Schimmer, “A Sharp Lieb–Thirring Inequality for Functional Difference Operators”, SIGMA, 17 (2021), 105, 10 pp.
	2020
4.	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
5.	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	2
	2019
6.	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	4
7.	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	2
	2018
8.	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	4
	2017
9.	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	3
	2016
10.	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	7
	2011
11.	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	8
	2008
12.	A. Gordon, J. Holt, A. Laptev, S. Molchanov, “On the Simon–Spencer theorem”, Zh. Mat. Fiz. Anal. Geom., 4:1 (2008), 108–120
	2000
13.	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	12
14.	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	7
	1981
15.	A. A. Laptev, “Spectral asymptotics of a class of Fourier integral operators.”, Tr. Mosk. Mat. Obs., 43 (1981), 92–115
16.	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	1
	1977
17.	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
	1974
18.	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	6

	2018
19.	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
	2017
20.	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
	2010
21.	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	1

Presentations in Math-Net.Ru

1.	A sharp Lieb-Thirring inequality for functional difference operators A. A. Laptev Friends in Partial Differential Equations May 26, 2024 14:30
2.	A survey on current results in theory of Lieb-Thirring inequalities A. A. Laptev Seminar on Analysis, Differential Equations and Mathematical Physics June 15, 2023 18:00
3.	A survey on current results in Theory of Lieb-Thirring inequalities A. A. Laptev V. I. Smirnov Seminar on Mathematical Physics March 6, 2023 16:30
4.	Symmetry Results in Two-Dimensional Inequalities for Aharonov–Bohm Magnetic Fields A. Laptev Joint Mathematical seminar of Saint Petersburg State University and Peking University November 18, 2021 15:00

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