Borzov Vadim Vasiljevich

Publications in Math-Net.Ru

1. Realization by a differential operator of the annihilation operator for generalized Chebyshev oscillator
   
   Zap. Nauchn. Sem. POMI, 494 (2020),  75–102
2. Calculating the Mandel parameter for an oscillator-like system generated by generalized Chebyshev polynomials
   
   Zap. Nauchn. Sem. POMI, 493 (2020),  73–87
3. Local perturbation of the discrete Schrödinger operator and a generalized Chebyshev oscillator
   
   TMF, 200:3 (2019),  494–506
4. Invariance of the generalized oscillator under a linear transformation of the related system of orthogonal polynomials
   
   TMF, 190:2 (2017),  267–276
5. Orthogonal polynomials and deformed oscillators
   
   TMF, 185:1 (2015),  68–76
6. The discrete spectrum of Jacobi matrix related to recurrence relations with periodic coefficients
   
   Zap. Nauchn. Sem. POMI, 433 (2015),  111–130
7. Chebyshev–Koornwinder oscillator
   
   TMF, 175:3 (2013),  379–387
8. Differential equations for the elementary 3-symmetric Chebyshev polynomials
   
   Zap. Nauchn. Sem. POMI, 398 (2012),  64–86
9. $N$-symmetric Chebyshev polynomials in a composite model of a generalized oscillator
   
   TMF, 169:2 (2011),  229–240
10. Composite model for generalized oscillator. I
    
    Zap. Nauchn. Sem. POMI, 374 (2010),  58–81
11. Generalized coherent states for oscillators associated with the Charlier $q$-polynomials
    
    TMF, 155:1 (2008),  39–46
12. Generalized oscillator and its coherent states
    
    TMF, 153:3 (2007),  363–380
13. Coherent states for generalized oscillator in finite-dimensional Hilbert space
    
    Zap. Nauchn. Sem. POMI, 335 (2006),  75–99
14. Generalized coherent states for oscillators connected with Meixner and Meixner–Pollachek polynomials
    
    Zap. Nauchn. Sem. POMI, 317 (2004),  66–93
15. Generalized coherent states for $q$-oscillator connected with discrete $q$-Hermite polynomials
    
    Zap. Nauchn. Sem. POMI, 308 (2004),  48–66
16. Generalized coherent states: a novel approach
    
    Zap. Nauchn. Sem. POMI, 300 (2003),  65–71
17. Barut–Girardello Coherent states for the Gegenbauer oscillator
    
    Zap. Nauchn. Sem. POMI, 291 (2002),  43–63
18. Coherent states for the Legendre oscillator
    
    Zap. Nauchn. Sem. POMI, 285 (2002),  39–52
19. Representations of the deformed oscillator algebra under different choices of generators
    
    Zap. Nauchn. Sem. POMI, 245 (1997),  80–106
20. On the asymptotic behaviour of the Gauss functional integral
    
    Zap. Nauchn. Sem. LOMI, 184 (1990),  26–36
21. High-temperature behavior of the partition function for the $P(\varphi)_2$ model of Euclidean field theory
    
    TMF, 76:3 (1988),  328–338
22. Upper bound for the partition function of $P(\varphi)_2$ Euclidean field theory with Dirichlet boundary conditions
    
    TMF, 57:3 (1983),  373–381
23. Asymptotic distribution of eigenvalues of secondarily quantized operator
    
    Mat. Zametki, 26:4 (1979),  547–560
24. The spectrum of a singular string
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 7,  3–10
25. Piecewise polynomial approximations of functions of classes $\mathring W_p^r$ in $L_q$ with respect to an infinite measure
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 8,  19–28
26. Certain applications of piecewise polynomial approximations of functions in the anisotropic classes $W_p^r$
    
    Dokl. Akad. Nauk SSSR, 198:3 (1971),  499–501