Solev Valentin Nikolaevich

Publications in Math-Net.Ru

1. Сonjugate system and accuracy in the estimation problem
   
   Zap. Nauchn. Sem. POMI, 544 (2025),  314–328
2. Approximation of spectral density and accuracy in the estimation problem
   
   Zap. Nauchn. Sem. POMI, 535 (2024),  255–268
3. BMO space and the problem of estimating a function in stationary noise
   
   Zap. Nauchn. Sem. POMI, 526 (2023),  193–206
4. Comparison of projector operators in the weighted space
   
   Zap. Nauchn. Sem. POMI, 515 (2022),  189–198
5. The lower bound of the minimax risk in a problem of estimating the function in stationary gaussian noise
   
   Zap. Nauchn. Sem. POMI, 505 (2021),  282–293
6. Estimation of a function in a Gaussian stationary noise
   
   Zap. Nauchn. Sem. POMI, 495 (2020),  277–290
7. Estimation of a vector valued function in a Gaussian stationary noise
   
   Zap. Nauchn. Sem. POMI, 486 (2019),  275–285
8. Estimation of function in Gaussian stationary noise: new spectral condition
   
   Zap. Nauchn. Sem. POMI, 474 (2018),  222–232
9. A local version of the Muckenhoupt condition and the accuracy of estimation of the unknown pseudo periodic function in stationary noise
   
   Zap. Nauchn. Sem. POMI, 466 (2017),  289–299
10. Adaptive estimation of function observed in Gaussian stationary noise
    
    Zap. Nauchn. Sem. POMI, 454 (2016),  261–275
11. Estimation of function observed in stationary noise: discretization
    
    Zap. Nauchn. Sem. POMI, 441 (2015),  286–298
12. Mackenhoupt condition and an estimating problem
    
    Zap. Nauchn. Sem. POMI, 431 (2014),  186–197
13. Estumation of density on indirect observation
    
    Zap. Nauchn. Sem. POMI, 396 (2011),  204–212
14. Maximum likelihood estimator: the nonparametric approach
    
    Zap. Nauchn. Sem. POMI, 341 (2007),  220–228
15. Minimum distance estimators
    
    Zap. Nauchn. Sem. POMI, 339 (2006),  151–162
16. Large Toeplitz operators and quadratic form generated by stationary Gaussian sequence
    
    Zap. Nauchn. Sem. POMI, 328 (2005),  221–229
17. Estimation in a model with infinite dimensional nuisance parameter
    
    Zap. Nauchn. Sem. POMI, 320 (2004),  160–165
18. Conditions of the local asymptotic normality for Gaussian stationary random processes
    
    Zap. Nauchn. Sem. POMI, 278 (2001),  225–247
19. Prediction problems and Hunt–Muckenhoupt–Wheeden condition
    
    Zap. Nauchn. Sem. POMI, 260 (1999),  73–83
20. The estimation of a function being observed with a stationary error
    
    Zap. Nauchn. Sem. POMI, 244 (1997),  271–284
21. The accuracy of the least square method
    
    Zap. Nauchn. Sem. POMI, 228 (1996),  294–299
22. The problem of compensation
    
    Zap. Nauchn. Sem. POMI, 216 (1994),  144–152
23. On a condition of local regularity
    
    Zap. Nauchn. Sem. LOMI, 194 (1992),  141–149
24. The operator of canonical correlation and relatively regular processes
    
    Zap. Nauchn. Sem. LOMI, 177 (1989),  145–147
25. The condition of mutual absolute continuity of two Gaussian measures corresponding to a stationary process and asymptotic behaviour of the reproducing kernel
    
    Zap. Nauchn. Sem. LOMI, 166 (1988),  164–166
26. A basic condition for the stationary vector sequence
    
    Zap. Nauchn. Sem. LOMI, 153 (1986),  138–152
27. A condition for the mutual absolute continuity of Gaussian measures, generated by a stationary process
    
    Zap. Nauchn. Sem. LOMI, 142 (1985),  160–163
28. Gaussian $f$-regular processes and asymptotic behavior of likelihood function
    
    Zap. Nauchn. Sem. LOMI, 119 (1982),  203–217
29. Approximation of a reproducing kernel
    
    Zap. Nauchn. Sem. LOMI, 97 (1980),  195–198
30. 2.3. Analytic problems of the theory of stochastic processes
    
    Zap. Nauchn. Sem. LOMI, 81 (1978),  70–72
31. Aproximation of gaussian measures generated by statinary processes and smoothly dependeted of parameter
    
    Zap. Nauchn. Sem. LOMI, 79 (1978),  44–66
32. Conditionally regular processes
    
    Zap. Nauchn. Sem. LOMI, 72 (1977),  140–149
33. The information in the additive-nois scheme
    
    Zap. Nauchn. Sem. LOMI, 55 (1976),  117–127
34. Third order spectral measure for a stationary process
    
    Dokl. Akad. Nauk SSSR, 224:3 (1975),  546–548
35. On a continuous analogue of a Szegő theorem
    
    Zap. Nauchn. Sem. LOMI, 39 (1974),  104–109
36. The absolute regularity condition for fields
    
    Zap. Nauchn. Sem. LOMI, 29 (1972),  27–29
37. The average over a unit of time of the amount of information contained in one stationary Gaussian process with respect to another
    
    Zap. Nauchn. Sem. LOMI, 29 (1972),  18–26
38. Absolutely regular trajectories in the Hilbert space
    
    Zap. Nauchn. Sem. LOMI, 22 (1971),  139–160
39. A condition for the regularity of a Gaussian stationary process
    
    Dokl. Akad. Nauk SSSR, 185:3 (1969),  509–512
40. The asymptotics of the prediction error in the multi-dimensional case
    
    Dokl. Akad. Nauk SSSR, 185:1 (1969),  43–46
41. Asymptotic, behavior of the prediction error in multidimensional case
    
    Zap. Nauchn. Sem. LOMI, 12 (1969),  146–156
42. On a condition of linear regularity of stationary vector-valued sequence
    
    Zap. Nauchn. Sem. LOMI, 12 (1969),  126–145
43. On a condition of regularity of the gaussian stationary sequence
    
    Zap. Nauchn. Sem. LOMI, 12 (1969),  113–125
44. The asymptotic behavior of the prediction error of a stationary sequence with a spectral density of special type
    
    Teor. Veroyatnost. i Primenen., 13:4 (1968),  746–750


45. In memory of M. S. Nikulin
    
    Zap. Nauchn. Sem. POMI, 495 (2020),  7–8