Sloushch Vladimir Anatolevich

Publications in Math-Net.Ru

1. Homogenization of the Lévy-type operators
   
   Funktsional. Anal. i Prilozhen., 59:3 (2025),  41–48
2. Operator estimates for homogenization of the two-dimensional Dirac operator with periodic coefficients
   
   Zap. Nauchn. Sem. POMI, 541 (2025),  197–218
3. Operator estimates for homogenization of higher-order elliptic operators with periodic coefficients
   
   Algebra i Analiz, 35:2 (2023),  107–173
4. Homogenization of a one-dimensional fourth-order periodic operator with a singular potential
   
   Zap. Nauchn. Sem. POMI, 521 (2023),  212–239
5. Homogenization of a one-dimensional periodic elliptic operator at the edge of a spectral gap: operator estimates in the energy norm
   
   Zap. Nauchn. Sem. POMI, 519 (2022),  114–151
6. Threshold approximations for the resolvent of a polynomial nonnegative operator pencil
   
   Algebra i Analiz, 33:2 (2021),  233–274
7. Asymptotics and estimates for the discrete spectrum of the Schrödinger operator on a discrete periodic graph
   
   Algebra i Analiz, 32:1 (2020),  12–39
8. Homogenization of the Fourth-Order Elliptic Operator with Periodic Coefficients with Correctors Taken into Account
   
   Funktsional. Anal. i Prilozhen., 54:3 (2020),  94–99
9. Cwikel type estimate for the sandwiched Airy transform
   
   Algebra i Analiz, 29:2 (2017),  127–138
10. Discrete spectrum of the periodic Schrödinger operator with a variable metric perturbed by a nonnegative rapidly decaying potential
    
    Algebra i Analiz, 27:2 (2015),  196–210
11. Approximate commutation of a decaying potential and a function of elliptic operator
    
    Algebra i Analiz, 26:5 (2014),  215–227
12. Cwikel type estimates as a consequence of some properties of the heat kernel
    
    Algebra i Analiz, 25:5 (2013),  173–201
13. Two-Sided Estimates for the Trace of the Difference of Two Semigroups
    
    Funktsional. Anal. i Prilozhen., 43:3 (2009),  26–32
14. The discrete spectrum of differential operators in the spectral gaps in the case of nonnegative perturbations of higher order
    
    Zap. Nauchn. Sem. POMI, 270 (2000),  325–335
15. The discrete spectrum asymptotics with large coupling constant in the case of strong nonnegative perturbations
    
    Zap. Nauchn. Sem. POMI, 270 (2000),  317–324
16. Discrete spectrum in the spectral gaps of a selfadjoint operator for unbounded perturbations
    
    Zap. Nauchn. Sem. POMI, 247 (1997),  237–241