Steklov Mathematical Institute

Home page

Russian page

Dissertation Councils

Staff

Events

Charter

Address

8 Gubkina Str. Moscow,
119333, Russia
Tel.: +7(495) 984 81 41
Web site: www.mi-ras.ru
E-mail: steklov@mi-ras.ru

View Map

Directions

Kashin Boris Sergeevich
(recent publications)

by years

scientific publications

by types




2026
1.	B. S. Kashin, “On $m$-term approximations in the metric of the discrete space $L_n^0$”, Math. Notes, 119:2 (2026), 258–263
2.	A. I. Aptekarev, V. I. Buslaev, A. D. Izaak, B. S. Kashin, V. V. Kozlov, A. V. Komlov, N. G. Kruzhilin, A. Martínez-Finkelshtein, O. V. Mukina, S. Yu. Nemirovski, S. Yu. Orevkov, R. V. Palvelev, E. A. Rakhmanov, A. G. Sergeev, D. V. Treschev, E. M. Chirka, E. A. Shiryaeva, “Sergey Pavlovich Suetin (on his 70th birthday)”, Russian Math. Surveys, 81:3 (2026), 577–581

2025
3.	B. S. Kashin, V. K. Beloshapka, V. I. Bogachev, P. A. Borodin, P. V. Paramonov, K. Yu. Fedorovskiy, A. A. Shkalikov, “Research activity on the Chair of Theory of Functions and Functional Analysis”, Moscow University Mathematics Bulletin, 80:1 (2025), 42–55
4.	B. S. Kashin, I. V. Oseledets, A. Rudikov, “Accelerated algorithm for splitting a vector into two vectors with small uniform norm”, Math. Notes, 118:3 (2025), 564–570
5.	B. S. Kashin, S. V. Konyagin, V. N. Temlyakov, V. N. Chubarikov, L. A. Tolokonnikov, N. N. Dobrovol'skii, A. A. Kochetygov, I. M. Burkin, V. P. Baranov, S. A. Skobel'tsyn, E. V. Larkin, D. V. Gorbachev, O. I. Smirnov, N. M. Dobrovol'skii, I. Yu. Rebrova, “Valery Ivanovich Ivanov (7.07.1951 — 2.03.2025)”, Chebyshevskii Sb., 26:1 (2025), 258–262
6.	M. I. Dyachenko, B. S. Kashin, T. P. Lukashenko, M. G. Plotnikov, A. P. Solodov, N. N. Kholshchevnikova, “Valentin Anatol'evich Skvortsov (on his ninetieth birthday)”, Russian Math. Surveys, 80:6 (2025), 1135–1138

2024
7.	A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Yakobovskiy, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Russian Math. Surveys, 79:4 (2024), 739–745
8.	B. S. Kashin, “A geometric approach to lower bounds for the maximum of Gaussian random processes”, Math. Notes, 116:6 (2024), 1306–1311
9.	Daniil Merkulov, Daria Cherniuk, Alexander Rudikov, Ivan Oseledets, Ekaterina Muravleva, Aleksandr Mikhalev, Boris Kashin, “Quantization of large language models with an overdetermined basis”, Proceedings of the 40th Conference on Uncertainty in Artificial Intelligence (UAI 2024), Proc. Mach. Learn. Res. (PMLR), 244, 2024, 2527–2536, arXiv: 2404.09737
10.	A. M. Iosevich, B. S. Kashin, I. V. Limonova, A. Mayeli, “Subsystems of orthogonal systems and the recovery of sparse signals in the presence of random losses”, Russian Math. Surveys, 79:6 (2024), 1095–1097

2023
11.	Teoriya funktsii mnogikh deistvitelnykh peremennykh i ee prilozheniya, Sbornik statei. K 90-letiyu chlena-korrespondenta RAN Olega Vladimirovicha Besova, Trudy MIAN, 323, ed. B. S. Kashin, A. I. Tyulenev, MIAN, M., 2023, 306 pp.
12.	B. Kashin, S. Konyagin, V. Temlyakov, “Sampling discretization of the uniform norm”, Constr. Approx., 57 (2023), 663–694, arXiv: 2104.01229v2	18 ^[x]
13.	B. S. Kashin, A. V. Meleshkina, “On the Absolute Convergence of Fourier Series of Functions of Two Variables in the Space $C^{1,\omega}$”, Math. Notes, 114:4 (2023), 635–638
14.	B. S. Kashin, D. G. Romskii, “An Efficient Algorithm for Decomposing a Vector into Two Vectors with a Small Uniform Norm”, Math. Notes, 114:6 (2023), 1487–1490

2022
15.	B. S. Kashin, “An observation on the Gram matrices of systems of uniformly bounded functions and a problem of Olevskii”, Russian Math. Surveys, 77:1 (2022), 171–173
16.	O. N. Ageev, Ya. B. Vorobets, B. Weiss, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, L. S. Efremova, A. Yu. Zhirov, E. V. Zhuzhoma, B. S. Kashin, V. N. Kolokoltsov, A. V. Kochergin, L. M. Lerman, I. V. Mykytyuk, V. I. Oseledets, A. Yu. Plakhov, O. V. Pochinka, V. V. Ryzhikov, V. Zh. Sakbaev, A. G. Sergeev, Ya. G. Sinai, A. T. Tagi-Zade, S. V. Tikhonov, J.-P. Thouvenot, A. Ya. Helemskii, A. I. Shafarevich, “Anatolii Mikhailovich Stepin (obituary)”, Russian Math. Surveys, 77:2 (2022), 361–367
17.	B. S. Kashin, S. V. Konyagin, “Sergei Viktorovich Bochkarev (obituary)”, Russian Math. Surveys, 77:2 (2022), 355–360
18.	B. Kashin, E. Kosov, I. Limonova, V. Temlyakov, “Sampling discretization and related problems”, J. Complexity, 71 (2022), 101653, 55 pp.	45 ^[x]
19.	V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, O. S. Dudakova, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, M. D. Kovalev, V. V. Kozlov, R. M. Kolpakov, V. V. Kochergin, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, N. P. Red'kin, V. A. Sadovnichii, I. N. Sergeev, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “90 years since the birthday of Academician Oleg Borisovich Lupanov (02.06.1932 – 03.05.2006)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3, 3–5
20.	V. I. Berdyshev, O. V. Besov, B. S. Kashin, S. V. Konyagin, Yu. V. Malykhin, K. I. Oskolkov, A. S. Telyakovskii, D. S. Telyakovskii, V. N. Temlyakov, N. N. Kholshchevnikova, “Sergei Aleksandrovich Telyakovskii”, Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S7–S11

2021
21.	P. A. Borodin, M. I. Dyachenko, B. S. Kashin, T. P. Lukashenko, I. I. Mel'nikov, V. A. Sadovnichii, B. V. Simonov, V. A. Skvortsov, A. P. Solodov, V. N. Temlyakov, S. Yu. Tikhonov, V. M. Fedorov, “Mikhail Konstantinovich Potapov (on his 90th birthday)”, Russian Math. Surveys, 76:2 (2021), 369–371
22.	B. S. Kashin, “Lower bounds for $m$-term approximations in the metric of the discrete space $L_n^0$”, Russian Math. Surveys, 76:5 (2021), 933–935
23.	P. A. Borodin, I. A. Ibragimov, B. S. Kashin, V. V. Kozlov, A. V. Kolesnikov, S. V. Konyagin, E. D. Kosov, O. G. Smolyanov, N. A. Tolmachev, D. V. Treshchev, A. V. Shaposhnikov, S. V. Shaposhnikov, A. N. Shiryaev, A. A. Shkalikov, “Vladimir Igorevich Bogachev (on his 60th birthday)”, Russian Math. Surveys, 76:6 (2021), 1149–1157
24.	V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, V. V. Kozlov, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, O. V. Popov, V. A. Sadovnichii, I. N. Sergeev, G. V. Fedorov, A. T. Fomenko, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “To 70-th anniversary of professor V. N. Chubarikov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5, 69–71

2020
25.	B. S. Kashin, I. V. Limonova, “Weakly Lacunary Orthogonal Systems and Properties of the Maximal Partial Sum Operator for Subsystems”, Proc. Steklov Inst. Math., 311 (2020), 152–170
26.	B. S. Kashin, “Remarks on the Uniform and Absolute Convergence of Orthogonal Series”, Math. Notes, 108:5 (2020), 744–748
27.	S. V. Bolotin, A. V. Borisov, A. V. Karapetyan, B. S. Kashin, E. I. Kugushev, A. I. Neishtadt, D. O. Orlov, D. V. Treschev, “Valerii Vasil'evich Kozlov (on his 70th birthday)”, Russian Math. Surveys, 75:6 (2020), 1165–1180

2019
28.	V. A. Sadovnichii, V. N. Chubarikov, B. S. Kashin, V. V. Vlasov, V. V. Galatenko, V. E. Podolskii, T. V. Rodionov, V. A. Skvortsov, A. P. Solodov, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 2, 70–71
29.	B. S. Kashin, I. V. Limonova, “Decomposing a Matrix into two Submatrices with Extremally Small (2,1)-Norm”, Math. Notes, 106:1 (2019), 63–70
30.	V. I. Bogachev, I. V. Volovich, B. S. Kashin, V. V. Kozlov, V. P. Maslov, V. A. Sadovnichii, A. M. Stepin, V. M. Tikhomirov, A. Yu. Khrennikov, E. T. Shavgulidze, “Oleg Georgievich Smolyanov (on his 80th birthday)”, Russian Math. Surveys, 74:4 (2019), 771–773
31.	B. S. Kashin, I. V. Limonova, “Selecting a dense weakly lacunary subsystem in a bounded orthonormal system”, Russian Math. Surveys, 74:5 (2019), 956–958
32.	A. I. Aptekarev, A. M. Akhtyamov, O. V. Besov, A. A. Vladimirov, B. S. Kashin, K. A. Mirzoev, S. N. Naboko, R. O. Oinarov, I. V. Sadovnichaya, A. M. Savchuk, A. G. Sergeev, V. D. Stepanov, Ya. T. Sultanaev, D. V. Treschev, I. A. Sheipak, “Andrei Andreevich Shkalikov (on his seventieth birthday)”, Trans. Moscow Math. Soc., 80 (2019), 113–122

2018
33.	Garmonicheskii analiz, teoriya priblizhenii i teoriya chisel, Sbornik statei. K 60-letiyu so dnya rozhdeniya akademika Sergeya Vladimirovicha Konyagina, Trudy MIAN, 303, ed. B. S. Kashin, Yu. V. Malykhin, V. Yu. Protasov, I. D. Shkredov, K. S. Ryutin, MAIK «Nauka/Interperiodika», M., 2018, 287 pp.
34.	A. I. Aptekarev, V. M. Buchstaber, V. A. Vassiliev, M. L. Gromov, Yu. S. Ilyashenko, B. S. Kashin, V. M. Keselman, V. V. Kozlov, M. L. Kontsevich, I. M. Krichever, N. G. Kruzhilin, S. K. Lando, Yu. I. Manin, G. A. Margulis, S. Yu. Nemirovski, S. P. Novikov, Yu. G. Reshetnyak, Ya. G. Sinai, S. P. Suetin, D. V. Treschev, D. B. Fuchs, A. G. Khovanskii, E. M. Chirka, A. S. Schwarz, A. N. Shiryaev, “Vladimir Antonovich Zorich (on his 80th birthday)”, Russian Math. Surveys, 73:5 (2018), 935–939
35.	B. S. Kashin, Yu. V. Malykhin, K. S. Ryutin, “Kolmogorov width and approximate rank”, Proc. Steklov Inst. Math., 303 (2018), 140–153
36.	B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, A. N. Chumachenko, “19th International Saratov Winter School “Contemporary problems of function theory and their applications"”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 18:3 (2018), 354–365
37.	B. S. Kashin, Yu. V. Malykhin, V. Yu. Protasov, K. S. Ryutin, I. D. Shkredov, “Sergei Vladimirovich Konyagin turns 60”, Proc. Steklov Inst. Math., 303 (2018), 1–9
38.	B. S. Kashin, V. N. Temlyakov, “Observations on discretization of trigonometric polynomials with given spectrum”, Russian Math. Surveys, 73:6 (2018), 1128–1130

2017
39.	B. S. Kashin, A. V. Meleshkina, “Letter to the Editor”, Math. Notes, 101:4 (2017), 751
40.	B. S. Kashin, “Decomposing an orthogonal matrix into two submatrices with extremally small $(2,1)$-norm”, Russian Math. Surveys, 72:5 (2017), 971–973

2016
41.	B. I. Golubov, B. S. Kashin, T. P. Lukashenko, M. G. Plotnikov, M. A. Skopina, A. P. Solodov, A. M. Stepin, N. N. Kholshchevnikova, “Valentin Anatol'evich Skvortsov (on his 80th birthday)”, Russian Math. Surveys, 71:1 (2016), 175–177
42.	B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, A. N. Chumachenko, “18th International Saratov Winter School “Contemporary Problems of Function Theory and Their Applications””, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 16:4 (2016), 485–487
43.	B. S. Kashin, “Dyadic analogues of Hilbert matrices”, Russian Math. Surveys, 71:6 (2016), 1135–1136
44.	B. Kashin, P. Nevai, S. Suetin, V. Totik, “Special Issue Dedicated to the memory of Andrei Aleksandrovich Gonchar and Herbert Stahl”, J. Approx. Theory, 206, Special Issue (2016), IV	1 ^[x]

2015
45.	B. S. Kashin, “Lunin's method for selecting large submatrices with small norm”, Sb. Math., 206:7 (2015), 980–987
46.	B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, “XVII International Saratov Winter School <Contemporary Problems of the Function Theory and its Applications>. Dedicated to the 150th Anniversary of V. A. Steklov”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 15:3 (2015), 357–359
47.	V. M. Buchstaber, V. N. Dubinin, V. A. Kaliaguine, B. S. Kashin, V. N. Sorokin, S. P. Suetin, D. N. Tulyakov, B. N. Chetverushkin, E. M. Chirka, A. A. Shkalikov, “Alexander Ivanovich Aptekarev (on his 60th birthday)”, Russian Math. Surveys, 70:5 (2015), 965–973
48.	B. Kashin, P. Nevai, S. Suetin, V. Totik, “Special Issue Dedicated to the memory of Andrei Aleksandrovich Gonchar and Herbert Stahl”, J. Approx. Theory, 190, Special Issue (2015), III
49.	M. I. Zelikin, A. O. Ivanov, B. S. Kashin, A. S. Mishchenko, Yu. V. Nesterenko, A. A. Oshemkov, F. Yu. Popelenskii, V. A. Sadovnichii, A. A. Tuzhilin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, “Academician Anatolii Timofeevich Fomenko”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 6, 66–68

2014
50.	B. S. Kashin, “On a Special Orthogonal Decomposition of the Space $L^2(0,1)$”, Math. Notes, 95:4 (2014), 570–572
51.	Funktsionalnye prostranstva i smezhnye voprosy analiza, Sbornik statei. K 80-letiyu so dnya rozhdeniya chlena-korrespondenta RAN Olega Vladimirovicha Besova, Trudy MIAN, 284, ed. B. S. Kashin, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2014, 303 pp.
52.	B. S. Kashin, A. V. Meleshkina, “On $n$-Term Approximations with Respect to Frames Bounded in $L^p(0,1)$, $2\lt p\lt \infty$”, Math. Notes, 95:6 (2014), 775–779
53.	A. I. Aptekarev, P. A. Borodin, B. S. Kashin, Yu. V. Nesterenko, P. V. Paramonov, A. V. Pokrovskii, A. G. Sergeev, A. T. Fomenko, “Evgenii Prokof'evich Dolzhenko (on his 80th birthday)”, Russian Math. Surveys, 69:6 (2014), 1143–1148

2013
54.	O. V. Besov, S. V. Bochkarev, E. A. Volkov, V. A. Il'in, B. S. Kashin, V. V. Kozlov, S. V. Konyagin, N. N. Kudryavtsev, Yu. S. Osipov, S. I. Pokhozhaev, V. A. Sadovnichii, A. G. Sergeev, S. A. Telyakovskii, “His mathematical century (to the memory of Sergei Mikhailovich Nikol'skii)”, Russian Math. Surveys, 68:3 (2013), 591–594
55.	A. A. Agrachëv, D. V. Anosov, S. M. Aseev, V. M. Buchstaber, A. M. Vershik, Ya. B. Vorobets, V. A. Kaimanovich, B. S. Kashin, I. G. Lysënok, A. Yu. Ol'shanskii, V. N. Remeslennikov, Ya. G. Sinai, S. K. Smirnov, A. M. Stepin, I. A. Taimanov, E. V. Shchepin, “Rostislav Ivanovich Grigorchuk (on his sixtieth birthday)”, Russian Math. Surveys, 68:5 (2013), 967–971

2012
56.	F. S. Avdeev, G. I. Arkhipov, S. B. Gashkov, N. M. Dobrovol'skii, B. S. Kashin, I. I. Mel'nikov, M. P. Mineev, Yu. V. Nesterenko, S. M. Nikol'skii, A. N. Parshin, V. P. Platonov, Yu. V. Prokhorov, V. A. Sadovnichii, A. T. Fomenko, V. G. Chirskii, “Vladimir Nikolaevich Chubarikov (on his 60th birthday)”, Russian Math. Surveys, 67:1 (2012), 189–193
57.	B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, “16 Saratov winter school “Contemporary problems of function theory and its applications””, Izv. Saratov. Univ. Mat. Mekh. Inform., 12:2 (2012), 114–115
58.	J. Bourgain, B. S. Kashin, “Uniform approximation of partial sums of a Dirichlet series by shorter sums and $\Phi$-widths”, Sb. Math., 203:12 (2012), 1736–1760

2011
59.	S. M. Nikol'skii, V. A. Sadovnichii, V. N. Chubarikov, B. S. Kashin, I. I. Mel'nikov, M. I. Dyachenko, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 2, 63–64

2010
60.	J. Bourgain, B. S. Kashin, “On the Uniform Approximation of the Partial Sum of the Dirichlet Series by a Shorter Sum”, Math. Notes, 87:2 (2010), 285–286
61.	M. S. Agranovich, V. M. Buchstaber, R. S. Ismagilov, B. S. Kashin, B. S. Mityagin, S. P. Novikov, V. A. Sadovnichii, A. G. Sergeev, Ya. G. Sinai, A. A. Shkalikov, “Anatolii Gordeevich Kostyuchenko (obituary)”, Russian Math. Surveys, 65:4 (2010), 767–780

Full list of publications