Olshanski Grigorii Iosifovich

Publications in Math-Net.Ru

1. Remarks on Yangian-type algebras and double Poisson brackets
   
   Funktsional. Anal. i Prilozhen., 57:4 (2023),  75–88
2. Characters of classical groups, Schur-type functions and discrete splines
   
   Mat. Sb., 214:11 (2023),  89–132
3. A hierarchy of Palm measures for determinantal point processes with gamma kernels
   
   Studia Math., 267 (2022),  121–160
4. Elements of the $q$-Askey scheme in the algebra of symmetric functions
   
   Mosc. Math. J., 20:4 (2020),  645–694
5. The Topological Support of the z-Measures on the Thoma Simplex
   
   Funktsional. Anal. i Prilozhen., 52:4 (2018),  86–88
6. An analogue of the big $q$-Jacobi polynomials in the algebra of symmetric functions
   
   Funktsional. Anal. i Prilozhen., 51:3 (2017),  56–76
7. Diffusion processes on the Thoma cone
   
   Funktsional. Anal. i Prilozhen., 50:3 (2016),  85–90
8. Extended Gelfand–Tsetlin Graph, Its $q$-Boundary, and $q$-B-Splines
   
   Funktsional. Anal. i Prilozhen., 50:2 (2016),  31–60
9. Approximation of Markov Dynamics on the Dual Object of the Infinite-Dimensional Unitary Group
   
   Funktsional. Anal. i Prilozhen., 49:4 (2015),  61–75
10. Determinantal Measures Related to Big $q$-Jacobi Polynomials
    
    Funktsional. Anal. i Prilozhen., 49:3 (2015),  70–74
11. Multivariate Jacobi polynomials and the Selberg integral. II
    
    Zap. Nauchn. Sem. POMI, 436 (2015),  199–218
12. An interacting particle process related to Young tableaux
    
    Zap. Nauchn. Sem. POMI, 421 (2014),  47–57
13. The Young bouquet and its boundary
    
    Mosc. Math. J., 13:2 (2013),  193–232
14. Multivariate Jacobi Polynomials and the Selberg Integral
    
    Funktsional. Anal. i Prilozhen., 46:4 (2012),  31–50
15. Equilibrium Kawasaki dynamics and determinantal point processes
    
    Zap. Nauchn. Sem. POMI, 403 (2012),  81–94
16. Laguerre and Meixner symmetric functions, and infinite-dimensional diffusion processes
    
    Zap. Nauchn. Sem. POMI, 378 (2010),  81–110
17. Difference Operators and Determinantal Point Processes
    
    Funktsional. Anal. i Prilozhen., 42:4 (2008),  83–97
18. Meixner polynomials and random partitions
    
    Mosc. Math. J., 6:4 (2006),  629–655
19. The boundary of the Eulerian number triangle
    
    Mosc. Math. J., 6:3 (2006),  461–475
20. Probability Measures on Dual Objects to Compact Symmetric Spaces and Hypergeometric Identities
    
    Funktsional. Anal. i Prilozhen., 37:4 (2003),  49–73
21. Shifted Schur functions
    
    Algebra i Analiz, 9:2 (1997),  73–146
22. Yangians and classical Lie algebras
    
    Uspekhi Mat. Nauk, 51:2(308) (1996),  27–104
23. Boundary values of holomorphic functions, singular unitary representations of $O(p,q)$, and their limits as $q\to\infty$
    
    Zap. Nauchn. Sem. POMI, 223 (1995),  9–91
24. Weil Representation and Norms of Gaussian Operators
    
    Funktsional. Anal. i Prilozhen., 28:1 (1994),  51–67
25. Unitary representations of $(G,K)$-pairs that are connected with the infinite symmetric group $S(\infty)$
    
    Algebra i Analiz, 1:4 (1989),  178–209
26. Irreducible unitary representations of the groups $U(p,q)$ admitting the limit $q\to\infty$
    
    Zap. Nauchn. Sem. LOMI, 172 (1989),  114–120
27. Method of holomorphic extensions in the theory of unitary representations of infinite-dimensional classical groups
    
    Funktsional. Anal. i Prilozhen., 22:4 (1988),  23–37
28. Determinism of Lévy random fields and unitary representations of infinite-dimensional groups
    
    Uspekhi Mat. Nauk, 43:2(260) (1988),  151–152
29. Extension of the algebra $\mathscr{U}(\mathfrak{g})$ for infinite-dimensional classical Lie algebras $\mathfrak{g}$ and the Yangians $Y(\mathfrak{gl}(m))$
    
    Dokl. Akad. Nauk SSSR, 297:5 (1987),  1050–1054
30. Yangians and universal enveloping algebras
    
    Zap. Nauchn. Sem. LOMI, 164 (1987),  142–150
31. Unitary representations of the group $SO_0(\infty,\infty)$ as limits of unitary representations of the groups $SO_0(n,\infty)$ as $n\to\infty$
    
    Funktsional. Anal. i Prilozhen., 20:4 (1986),  46–57
32. Infinite-dimensional classical groups of finite $r$-rank: Description of representations and asymptotic theory
    
    Funktsional. Anal. i Prilozhen., 18:1 (1984),  28–42
33. Unitary representations of infinite-dimensional pairs $(G,K)$ and the formalism of R. Howe
    
    Dokl. Akad. Nauk SSSR, 269:1 (1983),  33–36
34. Convex cones in symmetric Lie algebras, Lie semigroups and invariant causal (order) structures on pseudo-Riemannian symmetric spaces
    
    Dokl. Akad. Nauk SSSR, 265:3 (1982),  537–541
35. Invariant orderings in simple Lie groups. The solution to É. B. Vinberg's problem
    
    Funktsional. Anal. i Prilozhen., 16:4 (1982),  80–81
36. Spherical functions and characters on the group $U(\infty)^X$
    
    Uspekhi Mat. Nauk, 37:2(224) (1982),  217–218
37. Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
    
    Funktsional. Anal. i Prilozhen., 15:4 (1981),  53–66
38. Construction of unitary representations of infinite-dimensional classical groups
    
    Dokl. Akad. Nauk SSSR, 250:2 (1980),  284–288
39. Description of unitary representations with highest weight for groups $U(p,q)\widetilde{}$
    
    Funktsional. Anal. i Prilozhen., 14:3 (1980),  32–44
40. New “large” groups of type I
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 16 (1980),  31–52
41. Unitary representations of the infinite-dimensional classical groups $U(p,\infty)$, $SO_0(p,\infty)$, $Sp(p,\infty)$ and the corresponding groups of motions
    
    Dokl. Akad. Nauk SSSR, 238:6 (1978),  1295–1298
42. Unitary representations of the infinite-dimensional classical groups $U(p,\infty)$, $SO_0(p,\infty)$, $Sp(p,\infty)$ and the corresponding motion groups
    
    Funktsional. Anal. i Prilozhen., 12:3 (1978),  32–44
43. Classification of irreducible representations of groups of automorphisms of Bruhat–Tits trees
    
    Funktsional. Anal. i Prilozhen., 11:1 (1977),  32–42
44. The representations of the automorphism group of a tree
    
    Uspekhi Mat. Nauk, 30:3(183) (1975),  169–170
45. Intertwining operators and complementary series in the class of representations induced from parabolic subgroups of the general linear group over a locally compact division algebra
    
    Mat. Sb. (N.S.), 93(135):2 (1974),  218–253
46. Unitary representations of the groups $GL(2)$ and $GU(2)$ over an unconnected locally compact quaternion field
    
    Funktsional. Anal. i Prilozhen., 7:1 (1973),  82–83
47. Intertwining operators for induced representations of reductive $p$-adic groups
    
    Uspekhi Mat. Nauk, 27:6(168) (1972),  243–244
48. Topology of the space of unitary representations of a nilpotent Lie group
    
    Funktsional. Anal. i Prilozhen., 3:4 (1969),  93–94
49. On the duality theorem of Frobenius
    
    Funktsional. Anal. i Prilozhen., 3:4 (1969),  49–58


50. Vladimir Fedorovich Molchanov (on his 75th birthday)
    
    Uspekhi Mat. Nauk, 69:3(417) (2014),  186–190
51. Anatolii Moiseevich Vershik (on his 80th birthday)
    
    Uspekhi Mat. Nauk, 69:1(415) (2014),  173–186
52. Rais Sal'manovich Ismagilov (on his 75th birthday)
    
    Uspekhi Mat. Nauk, 68:4(412) (2013),  185–190
53. Igor Krichever
    
    Mosc. Math. J., 10:4 (2010),  833–834
54. Alexandre A. Kirillov
    
    Mosc. Math. J., 6:3 (2006),  409
55. Érnest Borisovich Vinberg (on his 60th birthday)
    
    Uspekhi Mat. Nauk, 52:6(318) (1997),  193–200