Persons: Kashin Boris Sergeevich, List of publications

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Kashin Boris Sergeevich

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2026
1.	B. S. Kashin, Mat. Zametki, 119:2 (2026), 236–243

2025
2.	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
3.	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
4.	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
5.	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
6.	B. S. Kashin, “A geometric approach to lower bounds for the maximum of Gaussian random processes”, Math. Notes, 116:6 (2024), 1306–1311
7.	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
8.	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
9.	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

2023
10.	B. Kashin, S. Konyagin, V. Temlyakov, “Sampling discretization of the uniform norm”, Constr. Approx., 57 (2023), 663–694, arXiv: 2104.01229v2	15 ^[x]
11.	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
12.	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
13.	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.

2022
14.	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
15.	B. Kashin, E. Kosov, I. Limonova, V. Temlyakov, “Sampling discretization and related problems”, J. Complexity, 71 (2022), 101653, 55 pp.	40 ^[x]
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.	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
19.	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
20.	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
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.	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
23.	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
24.	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
25.	B. S. Kashin, “Remarks on the Uniform and Absolute Convergence of Orthogonal Series”, Math. Notes, 108:5 (2020), 744–748
26.	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
27.	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
28.	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
29.	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
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.	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
32.	B. S. Kashin, Yu. V. Malykhin, K. S. Ryutin, “Kolmogorov width and approximate rank”, Proc. Steklov Inst. Math., 303 (2018), 140–153
33.	B. S. Kashin, V. N. Temlyakov, “Observations on discretization of trigonometric polynomials with given spectrum”, Russian Math. Surveys, 73:6 (2018), 1128–1130
34.	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.
35.	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
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

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

2016
40.	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
41.	B. S. Kashin, “Dyadic analogues of Hilbert matrices”, Russian Math. Surveys, 71:6 (2016), 1135–1136
42.	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
43.	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
44.	B. S. Kashin, “Lunin's method for selecting large submatrices with small norm”, Sb. Math., 206:7 (2015), 980–987
45.	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
46.	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
47.	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
48.	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
49.	B. S. Kashin, “On a Special Orthogonal Decomposition of the Space $L^2(0,1)$”, Math. Notes, 95:4 (2014), 570–572
50.	B. S. Kashin, A. V. Meleshkina, “On $n$-Term Approximations with Respect to Frames Bounded in $L^p(0,1)$, $2<p<\infty$”, Math. Notes, 95:6 (2014), 775–779
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.	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
53.	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
54.	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
55.	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
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

2011
58.	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
59.	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
60.	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

2009
61.	V. I. Bogachev, V. S. Vladimirov, I. V. Volovich, B. S. Kashin, A. I. Kirillov, V. V. Kozlov, V. P. Maslov, V. A. Sadovnichii, A. M. Stepin, V. M. Tikhomirov, A. V. Uglanov, A. Yu. Khrennikov, A. M. Chebotarev, E. T. Shavgulidze, “Oleg Georgievich Smolyanov (on his 70th birthday)”, Russian Math. Surveys, 64:1 (2009), 183–185

2008
62.	B. S. Kashin, “Remark on Estimates of Orthomassivity”, Math. Notes, 84:6 (2008), 879–882
63.	B. I. Golubov, B. S. Kashin, “Introduction”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 5, 3
64.	B. I. Golubov, A. A. Gonchar, B. S. Kashin, S. M. Nikol'skii, A. M. Olevskii, M. K. Potapov, “On the 80th birthday of Petr Lavrent'evich Ul'yanov”, Russian Math. Surveys, 63:5 (2008), 989–994
65.	B. S. Kashin, M. K. Potapov, M. I. D'yachenko, “Petr Lavrent'evich Ul'yanov (on the 80th anniversary of his birth, May 3, 1928–November 13, 2006)”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 2008, no. 3, 3–5
66.	B. S. Kashin, V. N. Temlyakov, “On a Norm and Approximate Characteristics of Classes of Multivariable Functions”, Journal of Mathematical Sciences, 155:1 (2008), 57–80

2007
67.	B. S. Kashin, V. N. Temlyakov, “A Remark on Compressed Sensing”, Math. Notes, 82:6 (2007), 748–755
68.	B. S. Kashin, A. A. Saakyan, Ortogonalnye ryady, Monografiya, perevod na kitaiskii yazyk, Beiging Normal University Press, Beiging, 2007, 489 pp.

2008
69.	S. I. Adian, O. V. Besov, A. A. Gonchar, M. I. Dyachenko, B. S. Kashin, S. M. Nikol'skii, M. K. Potapov, “Petr Lavrent'evich Ul'yanov”, Journal of Mathematical Sciences, 155:1 (2008), 1–4

2007
70.	S. I. Adian, O. V. Besov, A. A. Gonchar, M. I. Dyachenko, B. S. Kashin, S. M. Nikol'skii, M. K. Potapov, “Petr Lavrent'evich Ul'yanov (obituary)”, Russian Math. Surveys, 62:4 (2007), 767–773

2006
71.	B. S. Kashin, “On a Class of Inequalities for Orthonormal Systems”, Math. Notes, 80:2 (2006), 199–203
72.	B. S. Kashin, “Preface”, Proc. Steklov Inst. Math., 255:1 (2006), 1
73.	Funktsionalnye prostranstva, teoriya priblizhenii, nelineinyi analiz, Sbornik statei, Trudy MIAN, 255, ed. B. S. Kashin, E. F. Mischenko, Nauka, MAIK «Nauka/Interperiodika», M., 2006, 288 pp.

2005
74.	B. S. Kashin, T. Yu. Kulikova, “On the validity for frames of a result concerning orthogonal systems”, Math. Notes, 77:2 (2005), 280–282

2003
75.	B. S. Kashin, V. N. Temlyakov, “The volume estimates and their applications”, East J. Approx., 9:4 (2003), 469–485
76.	B. S. Kashin, S. J. Szarek, “The Knaster problem and the geometry of high-dimensional cubes”, C. R. Math. Acad. Sci. Paris, 336:11 (2003), 931–936	14 ^[x]
77.	B. S. Kashin, S. I. Sharek, “On the Gram Matrices of Systems of Uniformly Bounded Functions”, Proc. Steklov Inst. Math., 243 (2003), 227–233

2002
78.	B. S. Kashin, S. V. Pastukhov, “Short-term prediction in a securities market”, Dokl. Math., 66:3 (2002), 468–470
79.	B. S. Kashin, “On lower estimates for $n$-term approximation in Hilbert spaces”, Approximation theory, A volume dedicated to Blagovest Sendov, eds. B. D. Bojanov, Darba, Sofia, 2002, 241–257
80.	B. S. Kashin, T. Yu. Kulikova, “A Note on the Description of Frames of General Form”, Math. Notes, 72:6 (2002), 863–867
81.	B. S. Kashin, “Lower Bounds for $n$-Term Approximations of Plane Convex Sets and Related Topics”, Math. Notes, 72:4 (2002), 473–478
82.	B. S. Kashin, T. Yu. Kulikova, “A Note on the Approximation Properties of Frames of General Form”, Math. Notes, 72:2 (2002), 281–284

2001
83.	B. S. Kashin, “Lower Bounds for $n$-Term Approximations”, Math. Notes, 70:4 (2001), 574–576

2000
84.	B. S. Kashin, N. P. Korneĭchuk, P. L. Ul'yanov, I. A. Shevchuk, V. A. Andrienko, “A brief survey of the scientific work of È. A. Storozhenko”, Ukrainian Math. J., 52:4 (2000), 531–542

1999
85.	B. S. Kashin, A. A. Saakyan, Orthogonal series, 2nd ed., Izd. Nauchno-Issled. Aktuarno-Finans. Tsentra (AFTs), Moscow, 1999, x+550 pp.
86.	B. S. Kashin, V. N. Temlyakov, “On a norm and approximation characteristics of classes of functions of several variables”, Metric theory of functions and related problems in analysis, eds. S. M. Nikol'skii, Izd. Nauchno-Issled. Aktuarno-Finans. Tsentra (AFTs), Moscow, 1999, 69–99
87.	V. I. Ivanov, B. S. Kashin, S. A. Telyakovskii, “International Conference “Approximation Theory and Harmonic Analysis””, Uspekhi Mat. Nauk, 54:2(326) (1999), 205–207

1998
88.	B. S. Kashin, V. N. Temlyakov, “On a certain norm and related applications”, Math. Notes, 64:4 (1998), 551–554
89.	B. S. Kashin, A. A. Razborov, “Improved lower bounds on the rigidity of Hadamard matrices”, Math. Notes, 63:4 (1998), 471–475
90.	M. I. D'yachenko, B. S. Kashin, M. K. Potapov, “Petr Lavrent'evich Ul'yanov (on the occasion of his seventieth birthday)”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1998, no. 3, 3–6

1997
91.	B. S. Kashin, “On the possibility of generalizing “correction” theorems”, Math. Notes, 62:6 (1997), 784–786

1996
92.	A. Andreev, V. I. Berdyshev, B. Bojanov, B. S. Kashin, S. V. Konyagin, S. M. Nikol'skii, K. I. Oskolkov, P. Petrushev, Bl. Sendov, S. A. Telyakovskii, V. N. Temlyakov, “In memory of Sergei Borisovich Stechkin [1920–1995]”, East J. Approx., 2:2 (1996), 131–133

1995
93.	B. Kashin, L. Tzafriri, “Lower estimates for the supremum of some random processes. II”, East J. Approx., 1:3 (1995), 373–377
94.	B. Kashin, L. Tzafriri, “Lower estimates for the supremum of some random processes”, East J. Approx., 1:1 (1995), 125–139
95.	B. S. Kashin, V. N. Temlyakov, “Estimate of approximate characteristics for classes of functions with bounded mixed derivative”, Math. Notes, 58:6 (1995), 1340–1342
96.	B. S. Kashin, S. I. Sharek, “Logarithmic growth of the $L^1$-norm of the majorant of partial sums of an orthogonal series”, Math. Notes, 58:2 (1995), 824–832
97.	B. S. Kashin, L. A. Tzafriri, “Letter to the editor”, Math. Notes, 58:4 (1995), 1124–1125
98.	O. V. Besov, S. V. Bochkarev, V. S. Vladimirov, E. A. Volkov, V. K. Dzyadyk, V. A. Il'in, B. S. Kashin, N. P. Korneichuk, L. D. Kudryavtsev, O. A. Oleinik, Yu. S. Osipov, S. I. Pokhozhaev, S. B. Stechkin, S. A. Telyakovskii, V. N. Temlyakov, P. L. Ul'yanov, “Sergei Mikhailovich Nikol'skii (on his ninetieth birthday)”, Russian Math. Surveys, 50:6 (1995), 1321–1327

1994
99.	B. S. Kashin, L. A. Tzafriri, Some remarks on the restriction of operators to coordinate subspaces, Preprint no. 12, Hebrew University of Jerusalem, Institute of Mathematics, Jerusalem (Israel), 1994, 14 pp. http://www.ma.huji.ac.il/~landau/preprint94.html
100.	B. S. Kashin, L. A. Tzafriri, “Lower bound for the maximum of a stochastic process”, Math. Notes, 56:6 (1994), 1306–1308
101.	B. S. Kashin, V. N. Temlyakov, “On best $m$-term approximations and the entropy of sets in the space $L_1$”, Math. Notes, 56:5 (1994), 1137–1157

1993
102.	B. S. Kashin, L. A. Tzafriri, “Random sets of uniform convergence”, Math. Notes, 54:1 (1993), 677–687

1992
103.	E. D. Gluskin, B. S. Kashin, On the volume of the set of uniformly bounded polynomials, Preprint, IHES M/92/72, 1992, 5 pp.

1991
104.	B. S. Kashin, “Algebraic polynomials with integer coefficients deviating little from zero on an interval”, Math. Notes, 50:3 (1991), 921–927

1990
105.	B. S. Kashin, “Teoremy faktorizatsii i ikh primenenie”, Doklady po matematike i ee prilozheniyam, 3, no. 1, Izdanie MIAN i Tulskogo politekhn. in-ta, 1990, 393–398

1989
106.	B. S. Kashin, A. A. Saakyan, Orthogonal series, Translations of Mathematical Monographs, 75, Amer. Math. Soc., Providence, RI, 1989, xii+451 pp.
107.	B. S. Kashin, “Analogue of Men'shov's theorem ‘on correction’ for discrete orthonormal systems”, Math. Notes, 46:6 (1989), 934–939
108.	B. S. Kashin, “Parallelepipeds of least volume that contain a convex body”, Mat. Zametki, 45:2 (1989), 134–135

1988
109.	B. S. Kashin, “A group of width problems”, Moscow Univ. Math. Bull., 43:5 (1988), 74–76
110.	B. S. Kashin, G. G. Kosheleva, “An approach to “correction” theorems”, Moscow Univ. Math. Bull., 43:4 (1988), 1–5
111.	B. S. Kashin, “Preface”: A. Brøndsted, An introduction to the theory of convex polytopes, eds. B. S. Kashin, Mir, Moscow, 1988
112.	B. S. Kashin, M. K. Potapov, “Petr Lavrent'evich Ul'yanov (on the occasion of his sixtieth birthday)”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1988, no. 4, 3–5

1987
113.	B. S. Kashin, “Trigonometric polynomials with coefficients modulo zero or one”, Theory of functions and approximations (Saratow, 1986), Part 1, Saratov. Gos. Univ., Saratov, 1987, 19–30
114.	B. S. Kashin, “O svoistvakh sluchainykh trigonometricheskikh polinomov s koeffitsientami $\pm 1$”, Vestn. MGU. Ser. 1. Matem., mekh., 1987, no. 5, 40–46	3 ^[x]

1989
115.	B. S. Kashin, “On trigonometric polynomials with coefficients $+1$, $-1$, $0$”, Proc. Steklov Inst. Math., 180 (1989), 152–154

1987
116.	A. G. Vitushkin, A. A. Gonchar, B. S. Kashin, A. I. Kostrikin, S. M. Nikol'skii, S. P. Novikov, P. L. Ul'yanov, L. D. Faddeev, “Evgenii Mikhailovich Nikishin (obituary)”, Russian Math. Surveys, 42:5 (1987), 153–160

1985
117.	B. S. Kashin, “An isometric operator in $L^2(0,1)$”, C. R. Acad. Bulgare Sci., 38:12 (1985), 1613–1615

1987
118.	B. S. Kashin, “On approximation properties of complete orthonormal systems”, Proc. Steklov Inst. Math., 172 (1987), 207–211

1985
119.	B. S. Kashin, “On the choice of a subsystem of convergence in a given orthonormal system”, Russian Math. Surveys, 40:2 (1985), 215–216

1986
120.	B. S. Kashin, “On homogeneous polynomials of several variables on the complex sphere”, Math. USSR-Sb., 54:2 (1986), 409–414

1984
121.	B. S. Kashin, “Some results concerning estimates for widths”, Proceedings of the International Congress of Mathematicians (Warsaw, 1983), Vol. 2, PWN, Warsaw, 1984, 977–985
122.	B. S. Kashin, A. A. Saakyan, Orthogonal series, Nauka, Moscow, 1984, 496 pp.

1983
123.	B. S. Kashin, “Properties of random sections of an $n$-dimensional cube”, Moscow Univ. Math. Bull., 38:3 (1983), 7–10

1981
124.	B. S. Kashin, “Widths of Sobolev classes of small-order smoothness”, Moscow Univ. Math. Bull., 36:5 (1981), 62–66

1983
125.	B. S. Kashin, S. V. Konyagin, “On systems of vectors in a Hilbert space”, Proc. Steklov Inst. Math., 157 (1983), 67–70

1980
126.	B. S. Kašin, “Some properties of matrices of bounded operators from the space $l^n_2$ into $l^m_2$”, Izv. Akad. Nauk Armyan. SSR Ser. Mat., 15:5 (1980), 379–394
127.	B. S. Kashin, “Properties of random matrices connected with unconditional convergence almost everywhere”, Sov. Math. Dokl., 22 (1980), 584–587
128.	B. S. Kashin, “On estimates of diameters”, Quantitative approximation, Proc. Internat. Sympos. (Bonn, 1979), eds. R. A. DeVore, Academic Press, New York, 1980, 177–184	1 ^[x]
129.	B. S. Kašin, “A property of bilinear forms”, Soobshch. Akad. Nauk Gruzin. SSR, 97:1 (1980), 29–32

1981
130.	B. S. Kashin, “Some properties of the space of trigonometric polynomials with a uniform norm”, Proc. Steklov Inst. Math., 145 (1981), 121–127

1980
131.	B. S. Kashin, “O srednem znachenii nekotorykh funktsii, svyazannykh s ortonormirovannymi sistemami”, Sovremennye problemy teorii funktsii, Azerb.GU, Baku, 1980, 30–32

1979
132.	B. S. Kašin, “Some properties of a space of trigonometric polynomials connected with uniform convergence”, Soobshch. Akad. Nauk Gruzin. SSR, 93:2 (1979), 281–284
133.	B. S. Kashin, “General orthonormal systems and certain problems of approximation theory”, Math. Notes, 26:2 (1979), 641–650

1978
134.	B. S. Kašin, “On the mean value of certain functions connected with the convergence of orthogonal series”, Anal. Math., 4:1 (1978), 27–35	3 ^[x]

1979
135.	B. S. Kashin, “Remarks on estimating the Lebesgue functions of an orthonormal system”, Math. USSR-Sb., 35:1 (1979), 57–62

1980
136.	B. S. Kashin, “Some properties of orthogonal convergence system”, Proc. Steklov Inst. Math., 143 (1980), 73–92

1977
137.	B. S. Kashin, “Coefficients in the expansion of a certain class of functions with respect to complete systems”, Siberian Math. J., 18:1 (1977), 91–99
138.	B. S. Kashin, “Diameters of some finite-dimensional sets and classes of smooth functions”, Math. USSR-Izv., 11:2 (1977), 317–333
139.	B. S. Kashin, “Orders of the widths of certain classes of smooth functions”, Uspekhi Mat. Nauk, 32:1(193) (1977), 191–192

1976
140.	B. S. Kašin, “On Weyl's multipliers for almost everywhere convergence of orthogonal series”, Anal. Math., 2:4 (1976), 249–266	16 ^[x]
141.	B. S. Kasin, “On orthogonal systems of convergence”, Sov. Math. Dokl., 17 (1976), 698–699
142.	B. S. Kashin, “On a complete orthonormal system”, Math. USSR-Sb., 28:3 (1976), 315–324

1975
143.	B. S. Kasin, “On Weyl multipliers”, Sov. Math. Dokl., 16 (1975), 722–724
144.	B. S. Kashin, “The diameters of octahedra”, Uspekhi Mat. Nauk, 30:4(184) (1975), 251–252

1974
145.	B. S. Kasin, “On Kolmogorov diameters of octahedra”, Sov. Math. Dokl., 15 (1974), 304–307
146.	B. S. Kashin, “On unconditional convergence in the space $L_1$”, Math. USSR-Sb., 23:4 (1974), 509–519

1973
147.	B. S. Kashin, “Stability of unconditional convergence almost everywhere”, Math. Notes, 14:5 (1973), 930–935

1972
148.	B. S. Kashin, “On a property of functional series”, Math. Notes, 11:5 (1972), 294–299