Laptev Ari Arievich

Publications in Math-Net.Ru

1. Absolutely continuous spectrum of a typical Schrödinger operator with an operator-valued potential
   
   Algebra i Analiz, 35:1 (2023),  226–242
2. Hardy inequality for antisymmetric functions
   
   Funktsional. Anal. i Prilozhen., 55:2 (2021),  55–64
3. A Sharp Lieb–Thirring Inequality for Functional Difference Operators
   
   SIGMA, 17 (2021), 105, 10 pp.
4. On a class of sharp multiplicative Hardy inequalities
   
   Algebra i Analiz, 32:3 (2020),  180–190
5. Magnetic Lieb–Thirring inequality for periodic functions
   
   Uspekhi Mat. Nauk, 75:4(454) (2020),  207–208
6. Lieb-Thirring inequalities on the sphere
   
   Algebra i Analiz, 31:3 (2019),  116–135
7. On the Lieb–Thirring Constant on the Torus
   
   Mat. Zametki, 106:6 (2019),  946–950
8. Bound on the number of negative eigenvalues of two-dimensional Schrödinger operators on domains
   
   Algebra i Analiz, 30:3 (2018),  250–272
9. Trace formulas for a discrete Schrödinger operator
   
   Funktsional. Anal. i Prilozhen., 51:3 (2017),  81–86
10. Lieb-Thirring inequalities on the torus
    
    Mat. Sb., 207:10 (2016),  56–79
11. Hardy's inequality for a magnetic Grushin operator with Aharonov–Bohm type magnetic field
    
    Algebra i Analiz, 23:2 (2011),  1–8
12. On the Simon–Spencer theorem
    
    Zh. Mat. Fiz. Anal. Geom., 4:1 (2008),  108–120
13. 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
14. 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
15. Spectral asymptotics of a class of Fourier integral operators.
    
    Tr. Mosk. Mat. Obs., 43 (1981),  92–115
16. On the estimates for singular values of the integral operators of certain class
    
    Zap. Nauchn. Sem. LOMI, 110 (1981),  95–99
17. Spectral asymptotics of a composition of pseudodifferential operators and reflections from the boundary
    
    Dokl. Akad. Nauk SSSR, 236:4 (1977),  800–803
18. Spectral asymptotic behavior of a class of integral operators
    
    Mat. Zametki, 16:5 (1974),  741–750


19. Farit Gabidinovich Avkhadiev (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 73:1(439) (2018),  187–190
20. Mikhail Zakharovich Solomyak (obituary)
    
    Uspekhi Mat. Nauk, 72:5(437) (2017),  181–186
21. Mikhail Shlemovich Birman (obituary)
    
    Uspekhi Mat. Nauk, 65:3(393) (2010),  185–190