Albeverio Sergio A

Publications in Math-Net.Ru

1. Solvability of the Operator Riccati Equation in the Feshbach Case
   
   Mat. Zametki, 105:4 (2019),  483–506
2. The behaviour of the three-dimensional Hamiltonian $-\Delta+\lambda[\delta(x+x_0)+\delta(x-x_0)]$ as the distance between the two centres vanishes
   
   Nanosystems: Physics, Chemistry, Mathematics, 8:2 (2017),  153–159
3. On Invariant Graph Subspaces of a $J$-Self-Adjoint Operator in the Feshbach Case
   
   Mat. Zametki, 100:6 (2016),  761–773
4. Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive $\delta$-impurities symmetrically situated around the origin II
   
   Nanosystems: Physics, Chemistry, Mathematics, 7:5 (2016),  803–815
5. Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive $\delta$-impurities symmetrically situated around the origin
   
   Nanosystems: Physics, Chemistry, Mathematics, 7:2 (2016),  268–289
6. Equivalence of the Brownian and energy representations
   
   Zap. Nauchn. Sem. POMI, 441 (2015),  17–44
7. Index theory for real factors
   
   Eurasian Math. J., 3:2 (2012),  12–20
8. Clustering by hypergraphs and dimensionality of cluster systems
   
   P-Adic Numbers Ultrametric Anal. Appl., 4:3 (2012),  167–178
9. Operator Stieltjes integrals with respect to a spectral measure and solutions of some operator equations
   
   Tr. Mosk. Mat. Obs., 72:1 (2011),  63–103
10. On Jones' index for real $\mathrm W^*$-algebras
    
    Eurasian Math. J., 1:4 (2010),  5–19
11. The Cauchy Problem for the Wave Equation with Lévy Laplacian
    
    Mat. Zametki, 87:6 (2010),  803–813
12. Multidimensional Ultrametric Pseudodifferential Equations
    
    Trudy Mat. Inst. Steklova, 265 (2009),  19–35
13. $p$-Adic Nonorthogonal Wavelet Bases
    
    Trudy Mat. Inst. Steklova, 265 (2009),  7–18
14. Jump processes in $Q_p$ associated with nonlinear pseudo-differential equations
    
    Zap. Nauchn. Sem. POMI, 351 (2007),  5–37
15. Non-linear singular problems in $p$-adic analysis: associative algebras of $p$-adic distributions
    
    Izv. RAN. Ser. Mat., 69:2 (2005),  3–44
16. Non-Self-Adjointness of Operators with Small Diffusion
    
    Mat. Zametki, 78:6 (2005),  941–942
17. Generalized billiards inside an infinite strip with periodic laws of reflection along the strip's boundaries
    
    Regul. Chaotic Dyn., 10:3 (2005),  285–306
18. On the coincidence of types of a real $AW^*$-algebra and its complexification
    
    Izv. RAN. Ser. Mat., 68:5 (2004),  3–12
19. Associative Algebras of $p$-Adic Distributions
    
    Trudy Mat. Inst. Steklova, 245 (2004),  29–40
20. On the recurrence and transience of state-dependent branching processes in random environment
    
    Teor. Veroyatnost. i Primenen., 48:4 (2003),  641–660
21. On the Finiteness of the Discrete Spectrum of a Four-Particle Lattice Schrödinger Operator
    
    Funktsional. Anal. i Prilozhen., 36:3 (2002),  56–60
22. Financial Market with Interacting Assets. Pricing Barrier Options
    
    Trudy Mat. Inst. Steklova, 237 (2002),  173–184
23. Euclidean Gibbs states of quantum crystals
    
    Mosc. Math. J., 1:3 (2001),  307–313
24. Non-Archimedean analogues of orthogonal and symmetric operators
    
    Izv. RAN. Ser. Mat., 63:6 (1999),  3–28
25. Human memory as a $p$-adic dynamic system
    
    TMF, 117:3 (1998),  385–396
26. $p$-Adic dynamic systems
    
    TMF, 114:3 (1998),  349–365
27. Localization vs. delocalization of random discrete measures
    
    Teor. Veroyatnost. i Primenen., 43:4 (1998),  711–734
28. On asymptotic properties of certain orthogonal polynomials
    
    Mat. Fiz. Anal. Geom., 4:3 (1997),  263–277
29. Конечномерные аппроксимации $p$-адических псевдодифференциальных операторов
    
    Mat. Model., 9:10 (1997),  11
30. Infinite-dimensional stochastic Schrödinger–Belavkin equations
    
    Uspekhi Mat. Nauk, 52:4(316) (1997),  197–198
31. A survey of some developments in loop spaces: associated stochastic processes, statistical mechanics, infinite dimensional lie groups, topological quantum fields
    
    Trudy Mat. Inst. Steklova, 217 (1997),  209–234
32. A representation of quantum field Hamiltonian in a $p$-adic Hilbert space
    
    TMF, 112:3 (1997),  355–374
33. On boundary conditions for stochastic evolution equations with an extremally chaotic source
    
    Mat. Sb., 186:12 (1995),  3–20
34. On stochastic evolution equations with stochastic boundary conditions
    
    Teor. Veroyatnost. i Primenen., 38:1 (1993),  3–19


35. Splitting Formulas for the Higher and Lower Energy Levels of the One-Dimensional Schrödinger Operator [Erratum]
    
    TMF, 141:3 (2004),  485