Publications

• On double cosets of groups GL(n) with respect to subgroups of block strictly triangular matrices Linear and Multilinear Algebra,
  DOI , arXiv,
• On a $\mathbb C^2$-valued integral index transform and bilateral hypergeometric series Integral transforms and special functions, 33 (2022), no. 10, 827–845.
  DOI, https://arxiv.org/abs/2105.10800
• Description of unitary representations of the group of infinite $p$-adic integer matrices, Represent. Theory 25 (2021), 606-643.
  DOI, arXiv:1906.09440
• On spherical unitary representations of groups of spheromorphisms of Bruhat--Tits trees.} Groups Geom. Dyn. 15 (2021), no. 3, 801-824.
  DOI, arXiv:1906.12197.
• Groups $GL(\infty)$ over finite fields and multiplications of double cosets J. of Algebra 585 (2021), 370-421.
  DOI , arXiv,
A remark on nilpotent Lie algebras that do no admit gradings Zap. Nauchn. Sem. POMI, 481 (2019), 108-124 , Journal of Mathematical Sciences, 247, 711-722(2020).
DOI , paper .
• An analog of the Dougall formula and of the de Branges--Wilson integral Ramanujan Journal, 54 (2021), no. 1, 93-106.
  DOI , arXiv
• Barnes-Ismagilov integrals and hypergeometric functions of the complex field SIGMA, 2020, Volume 16, 072, 20 pages
  DOI , arXiv,
• Fourier transform on the Lobachevsky plane and operational calculus Funct. Anal. Applications, v 54,4 (2020), 278-286
  DOI , arXiv .
• Polyhomomorphisms of locally compact groups Sb. Math., 212:2 (2021), 185-210
  DOI , arXiv .
• On the group of spheromorphisms of the homogeneous non-locally finite tree. Izv. Math., 84:6 (2020), 1161-1191
  DOI , arXiv .
• Vladimir F. Molchanov, Yury A. Neretin, A pair of commuting hypergeometric operators on the complex plane and bispectrality J. Spectr. Theory 11 (2021), no. 2, 509-586.
  DOI , arXiv,
• Inner functions of matrix argument and conjugacy classes in unitary groups. Matem. Sbornik, 213:8 (2022), 26-43 (English translation to appear in Sbornik: Mathematics)
  DOI , arXiv
• Symmetric groups and checker triangulated surfaces. in Teichmuller Theory and Grothendieck-Teichmuller Theory (eds. Lizhen Ji, Athanase Papadopoulos, Weixu Su), 169-190, Higher Education Press, China, 2022.
  ISBN 978-7-04-057638-2, arXiv
• On Algebras of Double Cosets of Symmetric Groups with Respect to Young Subgroups Mathematical Notes, 2023, 114: 4, 583-592.
  arXiv
• On the Dotsenko-Fateev complex twin of the Selberg integral and its extensions
  Ramanujan Journal, 2023, DOI:10.1007/s11139-023-00804-3
  Preprint version. https://arxiv.org/abs/2212.09112
• Gauss--Berezin integral operators, spinors over supergroup $OSp(2p|2q)$, and Lagrangian super-Grassmannian In Symmetry in geometry and analysis, eds. M.Pevzner, H.Sekiguchi, Springer, to appear. Preprint version: https://arxiv.org/abs/0707.0570


• On Derkachov--Manashov $R$-matrices for the principal series of unitary representations, Preprint
  https://arxiv.org/abs/2306.08389
• Oligomorphic groups and ultrahomogeneous cubic spaces over finite fields
  https://arxiv.org/abs/2308.13247, Preprint
• On the group of homeomorphisms of the Basilica.
  https://arxiv.org/abs/2303.11482
• Some remarks on traces on the infinite-dimensional Iwahori--Hecke algebra
  Preprint https://arxiv.org/abs/2101.02133
• Non-singular actions of infinite-dimensional groups and polymorphisms
  Preprint https://arxiv.org/abs/2301.01736
• Groups of isometries of ultrametric Urysohn spaces and their unitary representations
  https://arxiv.org/abs/2212.02607
• Virtual permutations and polymorhisms
  Preprint https://arxiv.org/abs/2202.12978
• Riesz products and spectral decompositions for rank 1 measure preserving transformations.
  Preprint https://arxiv.org/abs/1806.10884 arXiv:1806.10884