Neretin Yu. A. Categories of symmetries and infinite-dimensional groups. London Mathematical Society Monographs. New Series, 16. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1996. xiv+417 pp.; Russian variant: URSS, 1998.
Neretin Yu. A. Representations of Virasoro algebra and affine algebras // Current problems in mathematics. Fundamental directions, vol. 22 (Russian), 163–224; Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1988. English transl.: Representation theory and noncommutative harmonic analysis. I, 157–234; Encyclopaedia Math. Sci., 22, Springer, Berlin, 1994.
Neretin Yu. A. Almost invariant structures and constructions of unitary representations of the group of diffeomorphisms of the circle // Dokl. Akad. Nauk SSSR 294 (1987), no. 1, 37–41. English transl.: Soviet Math. Dokl. 35 (1987), no. 3, 500–504.
Neretin Yu. A. Holomorphic continuations of representations of the group of diffeomorphisms of the circle // Mat. Sb. 180 (1989), no. 5, 635–657, 720.
Neretin Yu. A. Plancherel formula for Berezin deformation of $L^2$ on Riemannian symmetric space. Preprint, available via http://www.arXiv.org/math.RT/9911020.
Yu. A. Neretin, “On Algebras of Double Cosets of Symmetric Groups with Respect to Young Subgroups”, Mat. Zametki, 114:4 (2023), 591–601; Math. Notes, 114:4 (2023), 583–592
2022
2.
Yu. A. Neretin, “Inner functions of matrix argument and conjugacy classes in unitary groups”, Mat. Sb., 213:8 (2022), 26–43; Sb. Math., 213:8 (2022), 1041–1057
2021
3.
Yu. A. Neretin, “Polyhomomorphisms of locally compact groups”, Mat. Sb., 212:2 (2021), 53–80; Sb. Math., 212:2 (2021), 185–210
Yu. A. Neretin, “Fourier Transform on the Lobachevsky Plane and Operational Calculus”, Funktsional. Anal. i Prilozhen., 54:4 (2020), 64–73; Funct. Anal. Appl., 54:4 (2020), 278–286
5.
Yu. A. Neretin, “On the group of spheromorphisms of a homogeneous non-locally finite tree”, Izv. RAN. Ser. Mat., 84:6 (2020), 131–164; Izv. Math., 84:6 (2020), 1161–1191
6.
Yury A. Neretin, “Barnes–Ismagilov Integrals and Hypergeometric Functions of the Complex Field”, SIGMA, 16 (2020), 072, 20 pp.
Yu. A. Neretin, “A remark on nilpotent Lie algebras that do no admit gradings”, Zap. Nauchn. Sem. POMI, 481 (2019), 108–124
2018
8.
Yu. A. Neretin, “Operational Calculus for the Fourier Transform on the Group $\operatorname{GL}(2,\mathbb{R})$ and the Problem about the Action of an Overalgebra in the Plancherel Decomposition”, Funktsional. Anal. i Prilozhen., 52:3 (2018), 42–52; Funct. Anal. Appl., 52:3 (2018), 194–202
Alexander A. Gaifullin, Yury A. Neretin, “Infinite symmetric group, pseudomanifolds, and combinatorial cobordism-like structures”, J. Topol. Anal., 10:3 (2018), 605–625
Y. A. Neretin, “On the group of infinite $p$-adic matrices with integer elements”, Zap. Nauchn. Sem. POMI, 468 (2018), 105–125; J. Math. Sci. (N. Y.), 240:5 (2019), 572–586
Yu. A. Neretin, “Combinatorial encodings of infinite symmetric groups and descriptions of semigroups of double cosets”, Zap. Nauchn. Sem. POMI, 462 (2017), 65–92; J. Math. Sci. (N. Y.), 232:2 (2018), 138–156
Yu. A. Neretin, “On the Sphericity of the Subgroup $\operatorname{PSL}_2(\mathbb{R})$ in the Group of Diffeomorphisms of the Circle”, Funktsional. Anal. i Prilozhen., 50:2 (2016), 91–94; Funct. Anal. Appl., 50:2 (2016), 160–162
Yu. A. Neretin, “Radial parts of Haar measures and probability distributions on the space of rational matrix-valued functions”, Izv. RAN. Ser. Mat., 80:6 (2016), 127–140; Izv. Math., 80:6 (2016), 1118–1130
15.
Yu. A. Neretin, “Wishart–Pickrell distributions and closures of group actions”, Zap. Nauchn. Sem. POMI, 448 (2016), 236–245; J. Math. Sci. (N. Y.), 224:2 (2017), 328–334
Yu. A. Neretin, “Infinite symmetric groups and combinatorial constructions of topological field theory type”, Uspekhi Mat. Nauk, 70:4(424) (2015), 143–204; Russian Math. Surveys, 70:4 (2015), 715–773
Yu. A. Neretin, “Several remarks on groups of automorphisms of free groups”, Zap. Nauchn. Sem. POMI, 436 (2015), 189–198; J. Math. Sci. (N. Y.), 215:6 (2016), 748–754
Yu. A. Neretin, “Bi-invariant functions on the group of transformations leaving a measure quasi-invariant”, Mat. Sb., 205:9 (2014), 145–160; Sb. Math., 205:9 (2014), 1357–1372
20.
Yu. A. Neretin, “On an infinite-dimensional limit of the Steinberg representations”, Zap. Nauchn. Sem. POMI, 421 (2014), 126–132; J. Math. Sci. (N. Y.), 200:6 (2014), 718–721
2013
21.
Yu. A. Neretin, “Hua measures on the space of $p$-adic matrices and inverse limits of Grassmannians”, Izv. RAN. Ser. Mat., 77:5 (2013), 95–108; Izv. Math., 77:5 (2013), 941–953
Yu. A. Neretin, “On the boundary of the group of transformations leaving a measure quasi-invariant”, Mat. Sb., 204:8 (2013), 83–116; Sb. Math., 204:8 (2013), 1161–1194
Yu. A. Neretin, “A remark on representations of infinite symmetric groups”, Zap. Nauchn. Sem. POMI, 403 (2012), 103–109; J. Math. Sci. (N. Y.), 190:3 (2013), 464–467
Yu. A. Neretin, “Spectral data for a pair of matrices of order three and an action of the group $\mathrm{GL}(2,\mathbb Z)$”, Izv. RAN. Ser. Mat., 75:5 (2011), 93–102; Izv. Math., 75:5 (2011), 959–969
Yu. A. Neretin, “On Spherical Functions on the Group $\operatorname{SU}\times\operatorname{SU}\times\operatorname{SU}$”, Funktsional. Anal. i Prilozhen., 44:1 (2010), 59–67; Funct. Anal. Appl., 44:1 (2010), 48–54
Yu. A. Neretin, “On the beta function of the tube of the light cone”, Zap. Nauchn. Sem. POMI, 378 (2010), 73–80; J. Math. Sci. (N. Y.), 174:1 (2011), 36–40
2007
29.
Yu. A. Neretin, “$K$-Finite Matrix Elements of Irreducible Harish-Chandra Modules are Hypergeometric”, Funktsional. Anal. i Prilozhen., 41:4 (2007), 60–69; Funct. Anal. Appl., 41:4 (2007), 295–302
Yu. A. Neretin, “Perelomov Problem and Inversion of the Segal–Bargmann Transform”, Funktsional. Anal. i Prilozhen., 40:4 (2006), 104–107; Funct. Anal. Appl., 40:4 (2006), 330–333
Yu. A. Neretin, “Notes on Stein–Sahi representations and some problems of non-$L^2$-harmonic analysis”, Zap. Nauchn. Sem. POMI, 331 (2006), 125–169; J. Math. Sci. (N. Y.), 141:4 (2007), 1452–1478
Yu. A. Neretin, “Some Continuous Analogs of the Expansion in Jacobi Polynomials and Vector-Valued Orthogonal Bases”, Funktsional. Anal. i Prilozhen., 39:2 (2005), 31–46; Funct. Anal. Appl., 39:2 (2005), 106–119
Yu. A. Neretin, “Beta functions of Bruhat–Tits buildings and deformation of $l^2$
on the set of $p$-adic lattices”, Mat. Sb., 194:12 (2003), 31–62; Sb. Math., 194:12 (2003), 1775–1805
Yu. A. Neretin, “The action of an overalgebra on the Plancherel decomposition and shift operators in the imaginary direction”, Izv. RAN. Ser. Mat., 66:5 (2002), 171–182; Izv. Math., 66:5 (2002), 1035–1046
Yu. A. Neretin, “Beta-integrals and finite orthogonal systems of Wilson polynomials”, Mat. Sb., 193:7 (2002), 131–148; Sb. Math., 193:7 (2002), 1071–1089
Yu. A. Neretin, “Spreading maps (polymorphisms), symmetries of Poisson processes, and matching summation”, Zap. Nauchn. Sem. POMI, 292 (2002), 62–91; J. Math. Sci. (N. Y.), 126:2 (2005), 1077–1094
Yu. A. Neretin, “Index hypergeometric transform and imitation of analysis of Berezin kernels on hyperbolic spaces”, Mat. Sb., 192:3 (2001), 83–114; Sb. Math., 192:3 (2001), 403–432
Yu. A. Neretin, “On the Separation of Spectra in the Analysis of Berezin Kernels”, Funktsional. Anal. i Prilozhen., 34:3 (2000), 49–62; Funct. Anal. Appl., 34:3 (2000), 197–207
Yu. A. Neretin, “Matrix analogues of the beta function and Plancherel's formula for Berezin kernel representations”, Mat. Sb., 191:5 (2000), 67–100; Sb. Math., 191:5 (2000), 683–715
Yu. A. Neretin, “Conformal geometry of symmetric spaces and generalized linear-fractional maps of Krein–Shmul'yan”, Mat. Sb., 190:2 (1999), 93–122; Sb. Math., 190:2 (1999), 255–283
Yu. A. Neretin, “Pseudo-Riemannian symmetric spaces: uniform realizations, and open embeddings into Grassmanians”, Zap. Nauchn. Sem. POMI, 256 (1999), 145–167; J. Math. Sci. (New York), 107:5 (2001), 4248–4264
Yu. A. Neretin, “Supercomplete Bases in the Space of Symmetric Functions”, Funktsional. Anal. i Prilozhen., 32:1 (1998), 12–28; Funct. Anal. Appl., 32:1 (1998), 10–22
Yu. A. Neretin, “The restrictions of functions holomorphic in a domain to curves lying on its boundary, and discrete $\operatorname{SL}_2(\mathbb R)$-spectra”, Izv. RAN. Ser. Mat., 62:3 (1998), 67–86; Izv. Math., 62:3 (1998), 493–513
Yu. A. Neretin, “Hausdorff Metric, the Construction of a Hausdorff Quotient Space, and Boundaries of Symmetric Spaces”, Funktsional. Anal. i Prilozhen., 31:1 (1997), 83–86; Funct. Anal. Appl., 31:1 (1997), 65–67
Yu. A. Neretin, “On the correspondence between boson Fock space and the $L^2$ space with respect to Poisson measure”, Mat. Sb., 188:11 (1997), 19–50; Sb. Math., 188:11 (1997), 1587–1616
Yu. A. Neretin, “The group of diffeomorphisms of the half-line, and random Cantor sets”, Mat. Sb., 187:6 (1996), 73–84; Sb. Math., 187:6 (1996), 857–868
Yu. A. Neretin, G. I. Ol'shanski, “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; J. Math. Sci. (New York), 87:6 (1997), 3983–4035
Yu. A. Neretin, “On combinatorial analogs of the group of diffeomorphisms of the circle”, Izv. RAN. Ser. Mat., 56:5 (1992), 1072–1085; Russian Acad. Sci. Izv. Math., 41:2 (1993), 337–349
Yu. A. Neretin, “Categories of bistochastic measures, and representations of some infinite-dimensional groups”, Mat. Sb., 183:2 (1992), 52–76; Russian Acad. Sci. Sb. Math., 75:1 (1993), 197–219
Yu. A. Neretin, “Extension of representations of classical groups to representations of categories”, Algebra i Analiz, 3:1 (1991), 176–202; St. Petersburg Math. J., 3:1 (1992), 147–169
Yu. A. Neretin, “On operators that connect the holomorphic representations of
different groups”, Dokl. Akad. Nauk SSSR, 312:6 (1990), 1318–1321; Dokl. Math., 41:3 (1990), 547–550
Yu. A. Neretin, “A semigroup of operators in the boson fock space”, Funktsional. Anal. i Prilozhen., 24:2 (1990), 63–73; Funct. Anal. Appl., 24:2 (1990), 135–144
Yu. A. Neretin, “A spinor representation of an infinite-dimensional orthogonal semigroup and the virasoro algebra”, Funktsional. Anal. i Prilozhen., 23:3 (1989), 32–44; Funct. Anal. Appl., 23:3 (1989), 196–207
Yu. A. Neretin, “Holomorphic extensions of representations of the group of the diffeomorphisms of the circle”, Mat. Sb., 180:5 (1989), 635–657; Math. USSR-Sb., 67:1 (1990), 75–97
Yu. A. Neretin, “Representations of Virasoro algebra and affine algebras”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 22 (1988), 163–224
Yu. A. Neretin, “Almost invariant structures and constructions of unitary
representations of the group of diffeomorphisms of the circle”, Dokl. Akad. Nauk SSSR, 294:1 (1987), 37–41
Yu. A. Neretin, “A complex semigroup that contains the group of diffeomorphisms of the circle”, Funktsional. Anal. i Prilozhen., 21:2 (1987), 82–83; Funct. Anal. Appl., 21:2 (1987), 160–161
Yu. A. Neretin, “An estimate of the number of parameters defining an $n$-dimensional algebra”, Izv. Akad. Nauk SSSR Ser. Mat., 51:2 (1987), 306–318; Math. USSR-Izv., 30:2 (1988), 283–294
Yu. A. Neretin, “Representations of complementary series entering discretely in tensor products of unitary representations”, Funktsional. Anal. i Prilozhen., 20:1 (1986), 79–80; Funct. Anal. Appl., 20:1 (1986), 68–70
Yu. A. Neretin, “Unitary representations of the diffeomorphism group of the $p$-adic projective line”, Funktsional. Anal. i Prilozhen., 18:4 (1984), 92–93; Funct. Anal. Appl., 18:4 (1984), 345–346
Yu. A. Neretin, “Unitary representations with highest weight of the group of diffeomorphisms of a circle”, Funktsional. Anal. i Prilozhen., 17:3 (1983), 85–86; Funct. Anal. Appl., 17:3 (1983), 235–237
Yu. A. Neretin, “The complementary series of representations of the group of diffeomorphisms of the circle”, Uspekhi Mat. Nauk, 37:2(224) (1982), 213–214; Russian Math. Surveys, 37:2 (1982), 229–230
Yu. A. Neretin, “Differential operators on Lie groups”, Uspekhi Mat. Nauk, 36:2(218) (1981), 195–196; Russian Math. Surveys, 36:2 (1981), 187–188
2021
73.
Yu. A. Neretin, “About the Konstantinov system and the White Sea construction brigades”, Math. Ed., 2021, no. 3(99), 3–13
2019
74.
Yu. A. Neretin, A. M. Stepin, “To the 80th anniversary of Rais Salmanovich Ismagilov”, Chebyshevskii Sb., 20:1 (2019), 425–430
75.
A. M. Borodin, Aleksandr I. Bufetov, Aleksei I. Bufetov, A. M. Vershik, V. E. Gorin, A. I. Molev, V. F. Molchanov, R. S. Ismagilov, A. A. Kirillov, M. L. Nazarov, Yu. A. Neretin, N. I. Nessonov, A. Yu. Okounkov, L. A. Petrov, S. M. Khoroshkin, “Grigori Iosifovich Olshanski (on his 70th birthday)”, Uspekhi Mat. Nauk, 74:3(447) (2019), 193–213; Russian Math. Surveys, 74:3 (2019), 555–577
2016
76.
Yu. A. Neretin, “Unified State Exam and agony of school mathematics”, Math. Ed., 2016, no. 4(80), 2–14
2014
77.
S. G. Gindikin, R. S. Ismagilov, A. V. Karabegov, Yu. A. Neretin, N. I. Nessonov, G. I. Ol'shanski, “Vladimir Fedorovich Molchanov (on his 75th birthday)”, Uspekhi Mat. Nauk, 69:3(417) (2014), 186–190; Russian Math. Surveys, 69:3 (2014), 583–588
2013
78.
A. M. Vershik, A. A. Kirillov, V. F. Molchanov, Yu. A. Neretin, G. I. Olshanski, V. V. Ryzhikov, V. M. Tikhomirov, A. A. Shkalikov, “Rais Sal'manovich Ismagilov (on his 75th birthday)”, Uspekhi Mat. Nauk, 68:4(412) (2013), 185–190; Russian Math. Surveys, 68:4 (2013), 783–788
2010
79.
S. B. Artemov, A. A. Belavin, V. M. Buchstaber, A. I. Esterov, B. L. Feigin, V. A. Ginzburg, E. A. Gorsky, Yu. S. Ilyashenko, A. A. Kirillov, A. G. Khovanskii, S. K. Lando, G. A. Margulis, Yu. A. Neretin, S. P. Novikov, S. B. Shlosman, A. B. Sossinsky, M. A. Tsfasman, A. N. Varchenko, V. A. Vassiliev, S. G. Vlăduţ, “Sabir Medgidovich Gusein-Zade”, Mosc. Math. J., 10:4 (2010), 831–832
2009
80.
Yu. A. Neretin, “Entrance Examination Patience: Russia and the West”, Math. Ed., 2009, no. 2(50), 3–13
81.
Yu. A. Neretin, S. M. Khoroshkin, “Mathematical works of D. P. Zhelobenko”, Uspekhi Mat. Nauk, 64:1(385) (2009), 178–188; Russian Math. Surveys, 64:1 (2009), 187–198
2008
82.
A. M. Vershik, I. M. Gel'fand, S. G. Gindikin, A. A. Kirillov, G. L. Litvinov, V. F. Molchanov, Yu. A. Neretin, V. S. Retakh, “Mark Iosifovich Graev (to his 85th brithday)”, Uspekhi Mat. Nauk, 63:1(379) (2008), 169–182; Russian Math. Surveys, 63:1 (2008), 173–188
2007
83.
Yu. A. Neretin, “Education and "Snowball" Technology”, Math. Ed., 2007, no. 1(41), 45–48
2002
84.
Yu. A. Neretin, “Improbable Coincidences and the Morozov–Fomenko Problem on Historical Foldings”, Math. Ed., 2002, no. 2(21), 66–95
Closures of group actions and Poisson measures Yury Neretin International Conference “Anosov Systems and Modern Dynamics” dedicated to the 80th anniversary of Dmitry Anosov December 19, 2016 12:10
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