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Publications

UPD 2.10.2019

Published papers

1. The group of diffeomorphisms of the circle: reproducing kernels and analogs of spherical functions Journal of geometric mechanics, v.9, 2 (2017), 207-225.
DOI: 10.3934/jgm.2017009
arXiv:1601.02148

2. Wishart--Pickrell distributions and closures of group actions
Zapiski nauchn. semin. POMI RAN, v. 448, p. 236-245 (Russian); English version in J. Math. Sci. (N.Y.) 224 (2017), no. 2, 328–334.
DOI:10.1007/s10958-017-3417-1
arXiv:1602.03492

3. Combinatorial encoding of infinite symmetric groups and description of semigroups of double cosets,
Zapiski nauchn. semin. POMI RAN, v. 462, 65-92; Reprinted in J. Math. Sci. (N.Y.) 232, (2018), no. 2, 138–156.
DOI: 10.1007/s10958-018-3864-3

4. Alexander A. Gaifullin, Yury A. Neretin Infinite symmetric group and bordisms of pseudomanifolds
Journal of Topology and Analysis, 10 (2018), no. 3, 605–625.
DOI: 10.1142/S179352531850022X
arXiv:1501.04062

5. Restriction of representations of $GL(n+1,C)$ to $GL(n,C)$ and action of the Lie overalgebra,
Algebr. representat. theory, 21 (2018), no. 5, 1087-1117.
DOI: 10.1007/s10468-018-9774-8
https://arxiv.org/abs/1510.03611

6. Operational calculus for Fourier transform on the group $GL(2,R)$.
Funct. Anal. Appl., 52 (2018), no. 3, 194-202.
DOI: 10.1007/s10688-018-0228-1

7. After Plancherel formula.
In Geometric Methods in Physics. XXXVI Workshop and Summer School, Bialowieza, Poland, 2017. Editors: Kielanowski, P., Odzijewicz, A., Previato, E., Trends Math,, 389-401, Birkhauser, Trends in Mathematics, 2019.
DOI: 10.1007/978-3-030-01156-7_40
arXiv:1801.08780

8. The Fourier transform on the group $GL_2(R)$ and the action of the overalgebra $\mathfrak{gl}_4$
J. of Fiourier Analysis and applications, 25 (2019), no. 2, 488–505.
DOI: 10.1007/s00041-017-9589-8
arXiv:1704.04018

9. Projectors separating spectra for $L^2$ on pseudounitary groups $U(p,q)$
International Mathematics Research Notices, 2019, Issue 17, September 2019, Pages 5256–5283,
DOI: 10.1093/imrn/rnx268
arXiv:1703.08814

Accepted papers

10. Symmetric groups and checker triangulated surfaces
to appear in Teichmuller Theory and its Impact, Editors Lizhen Ji, Athanase Papadopoulos, Weixu Su.
arXiv:1710.11565,

11. Vladimir F. Molchanov, Yury A. Neretin, A pair of commuting hypergeometric operators on the complex plane and bispectrality.
to appear in J. of Spectral Theory.
arXiv:1812.06766

12. An analog of the Dougall formula and of the de Branges--Wilson integral. arXiv:1812.07341,
to appear in Ramanujan Journal
DOI :10.1007/s11139-019-00218-0
arXiv:1812.07341,

Preprints

13. Algebras of conjugacy classes in symmetric groups
arXiv:1604.05755

14. Projectors separating spectra for $L^2$ on symmetric spaces $GL(n,C)/GL(n,R)$
arXiv:1704.00049

15. On the Weil representation of infinite-dimensional symplectic group over a finite field
arXiv:1703.07238

15. Riesz products and spectral decompositions for rank 1 measure preserving transformations.
arXiv:1806.10884

16. Description of unitary representations of the group of infinite $p$-adic integer matrices,
arXiv: 1906.09440

17. On the group of spheromorphisms of the homogeneous non-locally finite tree.
arXiv:1909.09854

18. On spherical unitary representations of groups of spheromorphisms of Bruhat--Tits trees.
arXiv:1906.12197