Back to Yury Neretin homepage
To FWF homepage
To homepage of Mathematical Department of University of Vienna
To homepage of the Project FWF, P31591


  1. Barnes-Ismagilov integrals and hypergeometric functions of the complex field SIGMA, 2020, Volume 16, 072, 20 pages
    DOI , arXiv,
  2. Fourier transform on the Lobachevsky plane and operational calculus Funct. Anal. Applications, v 54,4 (2020), 278-286
    DOI , arXiv .
  3. A remark on nilpotent Lie algebras that do no admit gradings, Journal of Mathematical Sciences, 247, 711-722(2020).
    DOI , paper .
  4. On the group of spheromorphisms of the homogeneous non-locally finite tree. Izv. Math., 84:6 (2020), 1161-1191
    DOI , arXiv .
  5. Description of unitary representations of the group of infinite $p$-adic integer matrices, Represent. Theory 25 (2021), 606-643.
    DOI, arXiv:1906.09440
  6. An analog of the Dougall formula and of the de Branges--Wilson integral Ramanujan Journal, 54 (2021), no. 1, 93-106.
    DOI , arXiv
  7. Polyhomomorphisms of locally compact groups Sb. Math., 212:2 (2021), 185-210
    DOI , arXiv .
  8. 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,
  9. 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.
  10. Groups $GL(\infty)$ over finite fields and multiplications of double cosets J. of Algebra 585 (2021), 370-421.
    DOI , arXiv,
  11. On double cosets of groups GL(n) with respect to subgroups of block strictly triangular matrices Linear and Multilinear Algebra, 70, No. 19, 4620-4632 (2022)
    DOI , arXiv,
  12. On a $\mathbb C^2$-valued integral index transform and bilateral hypergeometric series Integral transforms and special functions, 33 (2022), no. 10, 827-845.
  13. 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
  14. 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
  15. On Algebras of Double Cosets of Symmetric Groups with Respect to Young Subgroups Mathematical Notes, 2023, 114: 4, 583-592.
    Preprint version arXiv
  16. Algebras of conjugacy classes in symmetric groups Mosc. Math. J., 2024
    DOI: 10.17323/1609-4514-2024-24-2-201-217 Preprint version arXiv
  17. On the Dotsenko-Fateev complex twin of the Selberg integral and its extensions
    Ramanujan Journal, Volume 64, 37-55, (2024) DOI:10.1007/s11139-023-00804-3
    Preprint version.
  18. 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:
  19. On Derkachov--Manashov $R$-matrices for the principal series of unitary representations, J. Math. Phys., 65, 051701 (2024),, Preprint version
  20. On the group of homeomorphisms of the Basilica., To appear in Topology Proceedings, 2024
  21. Non-singular actions of infinite-dimensional groups and polymorphisms
    Preprint To appear, Mosc. Math. J. 2024
  22. Riesz products and spectral decompositions for rank 1 measure preserving transformations.
    Preprint arXiv:1806.10884
  23. Some remarks on traces on the infinite-dimensional Iwahori--Hecke algebra
    Preprint Preprint,, 2021
  24. Virtual permutations and polymorhisms
  25. Groups of isometries of ultrametric Urysohn spaces and their unitary representations
    Preprint, (2022)
  26. Oligomorphic groups and ultrahomogeneous cubic spaces over finite fields, Preprint, 2023
UPD 17.05.2024