Laptev Ari Arievich

Publications in Math-Net.Ru

1. Eigenvalues of non-selfadjoint functional difference operators
   
   Funktsional. Anal. i Prilozhen., 59:3 (2025),  49–63
2. Spectral and functional inequalities for antisymmetric functions
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 2,  104–109
3. Spectral and functional inequalities on antisymmetric functions
   
   Ufimsk. Mat. Zh., 17:1 (2025),  142–153
4. Absolutely continuous spectrum of a typical Schrödinger operator with an operator-valued potential
   
   Algebra i Analiz, 35:1 (2023),  226–242
5. Hardy inequality for antisymmetric functions
   
   Funktsional. Anal. i Prilozhen., 55:2 (2021),  55–64
6. A Sharp Lieb–Thirring Inequality for Functional Difference Operators
   
   SIGMA, 17 (2021), 105, 10 pp.
7. On a class of sharp multiplicative Hardy inequalities
   
   Algebra i Analiz, 32:3 (2020),  180–190
8. Magnetic Lieb–Thirring inequality for periodic functions
   
   Uspekhi Mat. Nauk, 75:4(454) (2020),  207–208
9. Lieb-Thirring inequalities on the sphere
   
   Algebra i Analiz, 31:3 (2019),  116–135
10. On the Lieb–Thirring Constant on the Torus
    
    Mat. Zametki, 106:6 (2019),  946–950
11. Bound on the number of negative eigenvalues of two-dimensional Schrödinger operators on domains
    
    Algebra i Analiz, 30:3 (2018),  250–272
12. Trace formulas for a discrete Schrödinger operator
    
    Funktsional. Anal. i Prilozhen., 51:3 (2017),  81–86
13. Lieb-Thirring inequalities on the torus
    
    Mat. Sb., 207:10 (2016),  56–79
14. Hardy's inequality for a magnetic Grushin operator with Aharonov–Bohm type magnetic field
    
    Algebra i Analiz, 23:2 (2011),  1–8
15. On the Simon–Spencer theorem
    
    Zh. Mat. Fiz. Anal. Geom., 4:1 (2008),  108–120
16. 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
17. 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
18. Spectral asymptotics of a class of Fourier integral operators.
    
    Tr. Mosk. Mat. Obs., 43 (1981),  92–115
19. On the estimates for singular values of the integral operators of certain class
    
    Zap. Nauchn. Sem. LOMI, 110 (1981),  95–99
20. Spectral asymptotics of a composition of pseudodifferential operators and reflections from the boundary
    
    Dokl. Akad. Nauk SSSR, 236:4 (1977),  800–803
21. Spectral asymptotic behavior of a class of integral operators
    
    Mat. Zametki, 16:5 (1974),  741–750


22. International Sirius Mathematics Center
    
    Sirius Math. J., 1:1 (2025),  8–9
23. On the 90th birthday of Nina Nikolaevna Uraltseva
    
    Uspekhi Mat. Nauk, 79:6(480) (2024),  179–192
24. Farit Gabidinovich Avkhadiev (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 73:1(439) (2018),  187–190
25. Mikhail Zakharovich Solomyak (obituary)
    
    Uspekhi Mat. Nauk, 72:5(437) (2017),  181–186
26. Mikhail Shlemovich Birman (obituary)
    
    Uspekhi Mat. Nauk, 65:3(393) (2010),  185–190