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Skvortsov, Valentin Anatol'evich

Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person8400
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/189234
https://www.researchgate.net/profile/Valentin_Skvortsov2

Publications in Math-Net.Ru Citations
2025
1. P. Musial, V. A. Skvortsov, P. Sworowski, F. Tulone, “On the $L^r$-differentiability of two Lusin-type classes and a full descriptive characterization of the $\mathrm{HK}_r$-integral”, Mat. Sb., 216:6 (2025),  46–58  mathnet  mathscinet; Sb. Math., 216:6 (2025), 780–790  isi  scopus 1
2024
2. T. P. Lukashenko, V. A. Skvortsov, A. P. Solodov, “Kolmogorov's ideas on the theory of integral in modern research”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 1,  20–31  mathnet  elib; Moscow University Mathematics Bulletin, 79:1 (2024), 22–33 2
2022
3. P. Musial, V. A. Skvortsov, F. Tulone, “On Descriptive Characterizations of an Integral Recovering a Function from Its $L^r$-Derivative”, Mat. Zametki, 111:3 (2022),  411–421  mathnet  mathscinet; Math. Notes, 111:3 (2022), 414–422  scopus 7
2021
4. V. A. Skvortsov, “Reconstruction of a Generalized Fourier Series from Its Sum on a Compact Zero-Dimensional Group in the Non-Abelian Case”, Mat. Zametki, 109:4 (2021),  616–624  mathnet  elib; Math. Notes, 109:4 (2021), 630–637  isi  scopus 3
5. V. M. Buchstaber, S. S. Demidov, V. B. Demidovich, D. V. Millionshchikov, S. P. Novikov, V. A. Skvortsov, V. M. Tikhomirov, V. N. Chubarikov, K. E. Yakimova, “To memory of Elena Aleksandrovna Morozova”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 6,  63–70  mathnet
2018
6. P. A. Sworovsky, V. A. Skvortsov, “Comparison of Some Trigonometric Integrals”, Mat. Zametki, 104:2 (2018),  301–308  mathnet  mathscinet  elib; Math. Notes, 104:2 (2018), 303–308  isi  scopus 1
2017
7. V. A. Skvortsov, “Integration of Banach-valued functions and Haar series with Banach-valued coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 1,  25–32  mathnet  mathscinet; Moscow University Mathematics Bulletin, 72:1 (2017), 24–30  isi  scopus 2
2015
8. A. Bokkuto, V. A. Skvortsov, F. Tulone, “Integration of Functions Ranging in Complex Riesz Space and Some Applications in Harmonic Analysis”, Mat. Zametki, 98:1 (2015),  12–26  mathnet  mathscinet  elib; Math. Notes, 98:1 (2015), 25–37  isi  scopus 6
2013
9. V. A. Skvortsov, F. Tulone, “Generalized Hake property for integrals of Henstock type”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 6,  9–13  mathnet  mathscinet; Moscow University Mathematics Bulletin, 68:6 (2013), 270–274  scopus 9
2012
10. V. A. Skvortsov, F. Tulone, “Henstock type integral in compact zero-dimensional metric space and quasi-measures representations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 2,  11–17  mathnet; Moscow University Mathematics Bulletin, 67:2 (2012), 55–60  scopus 7
2009
11. V. A. Skvortsov, F. Tulone, “Integration of Both the Derivatives with Respect to $\mathscr{P}$-Paths and Approximative Derivatives”, Mat. Zametki, 85:2 (2009),  283–291  mathnet  mathscinet  zmath  elib; Math. Notes, 85:2 (2009), 260–266  isi  scopus 2
2008
12. V. A. Skvortsov, F. Tulone, “Perron type integral on compact zero-dimensional Abelian groups”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2008, no. 3,  37–42  mathnet  mathscinet  zmath 2
2006
13. V. A. Skvortsov, N. N. Kholshchevnikova, “Comparison of Two Generalized Trigonometric Integrals”, Mat. Zametki, 79:2 (2006),  278–287  mathnet  mathscinet  zmath  elib; Math. Notes, 79:2 (2006), 254–262  isi  scopus 5
14. A. Boccuto, V. A. Skvortsov, “Comparison of some Henstock-type integrals in the class of functions with values in Riesz spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 3,  13–18  mathnet  mathscinet  zmath
15. V. A. Skvortsov, F. Tulone, “$\mathcal{P}$-adic Henstock integral in the theory of series with respect to systems of characters of zero-dimensional groups”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 1,  25–29  mathnet  mathscinet  zmath 4
2005
16. P. Muldowney, V. A. Skvortsov, “Improper Riemann Integral and Henstock Integral in $\mathbb R^n$”, Mat. Zametki, 78:2 (2005),  251–258  mathnet  mathscinet  zmath  elib; Math. Notes, 78:2 (2005), 228–233  isi  scopus 6
17. V. A. Skvortsov, F. Tulone, “$\mathcal{P}$-adic Henstock integral in the problem of representation of functions by multiplicative transforms”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 3,  41–44  mathnet  mathscinet  zmath
2004
18. Yu. A. Zhereb'ev, V. A. Skvortsov, “The Radon-Nikodým derivative for a variational measure constructed from a dyadic basis”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 5,  6–12  mathnet  mathscinet  zmath
19. V. A. Skvortsov, F. Tulone, “Generalized Henstock integrals in the theory of series in multiplicative systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 2,  7–11  mathnet  mathscinet  zmath 3
2002
20. V. A. Skvortsov, A. P. Solodov, “On a descriptive characterization of the Denjoy–Bochner integral and its generalizations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 3,  57–60  mathnet  mathscinet  zmath
21. P. Sworowski, V. A. Skvortsov, “On a variational measure defined by an approximate differential basis”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 1,  54–57  mathnet  mathscinet  zmath 1
2001
22. V. A. Skvortsov, “$A$-integrable martingale sequences and Walsh series”, Izv. RAN. Ser. Mat., 65:3 (2001),  193–200  mathnet  mathscinet  zmath; Izv. Math., 65:3 (2001), 607–615  scopus 9
2000
23. V. A. Skvortsov, “On the multiple Perron integral”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 2,  11–14  mathnet  mathscinet  zmath 1
1999
24. V. V. Kostin, V. A. Skvortsov, “Martingale sequences in the theory of orthogonal series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 6,  50–53  mathnet  mathscinet  zmath 2
1998
25. V. A. Skvortsov, N. N. Kholshchevnikova, “$M$-sets for three classes of series in the Faber–Schauder system”, Mat. Zametki, 64:5 (1998),  734–748  mathnet  mathscinet  zmath; Math. Notes, 64:5 (1998), 634–645  isi
26. V. A. Skvortsov, “On the variational measure generated by the indefinite Lebesgue integral”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 1,  14–16  mathnet  mathscinet  zmath
1997
27. V. A. Skvortsov, “Approximate symmetric variation and the Lusin $N$-property”, Izv. RAN. Ser. Mat., 61:4 (1997),  155–166  mathnet  mathscinet  zmath; Izv. Math., 61:4 (1997), 831–841  isi  scopus 1
28. V. A. Skvortsov, A. P. Solodov, “A generalization of the Denjoy integral”, Mat. Zametki, 62:5 (1997),  766–772  mathnet  mathscinet  zmath; Math. Notes, 62:5 (1997), 642–647  isi
29. V. A. Skvortsov, “Variational measure and sufficient differentiability condition of additive interval function”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 2,  55–57  mathnet  mathscinet  zmath 1
1996
30. V. A. Skvortsov, “On the Marcinkiewicz theorem for the binary Perron integral”, Mat. Zametki, 59:2 (1996),  267–277  mathnet  mathscinet  zmath; Math. Notes, 59:2 (1996), 189–195  isi 3
1995
31. V. A. Skvortsov, M. P. Koroleva, “Series in multiplicative systems convergent to Denjoy-integrable functions”, Mat. Sb., 186:12 (1995),  129–150  mathnet  mathscinet  zmath; Sb. Math., 186:12 (1995), 1821–1842  isi 2
1993
32. V. A. Skvortsov, “Some properties of dyadic derivatives”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 6,  94–97  mathnet  mathscinet  zmath
1992
33. V. A. Skvortsov, “Uniqueness theorem for representation of functions by multiplicative transformations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 6,  14–18  mathnet  mathscinet  zmath
1989
34. V. A. Skvortsov, A. A. Talalyan, “Some uniqueness questions of multiple Haar and trigonometric series”, Mat. Zametki, 46:2 (1989),  104–113  mathnet  mathscinet  zmath; Math. Notes, 46:2 (1989), 646–653  isi 10
1987
35. V. A. Skvortsov, “An analogue of the Névai test for Fourier–Walsh series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 4,  61–63  mathnet  mathscinet  zmath
36. N. A. Bokaev, V. A. Skvortsov, “A generalization of a uniqueness theorem for series in multiplicative systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 3,  11–15  mathnet  mathscinet  zmath 2
1984
37. V. A. Skvortsov, “Behavior of divergent Haar series”, Mat. Zametki, 36:4 (1984),  509–515  mathnet  mathscinet  zmath; Math. Notes, 36:4 (1984), 752–755  isi
1983
38. L. A. Balashov, V. A. Skvortsov, “The Gibbs phenomenon for the Walsh system”, Dokl. Akad. Nauk SSSR, 268:5 (1983),  1033–1034  mathnet  mathscinet  zmath
39. V. A. Skvortsov, “Certain properties of the Haar double series with everywhere convergent spherical partial sums”, Mat. Zametki, 33:1 (1983),  89–95  mathnet  mathscinet  zmath; Math. Notes, 33:1 (1983), 44–47  isi
40. L. A. Balashov, V. A. Skvortsov, “Gibbs constants for partial sums of Fourier–Walsh series and their $(C,1)$-means”, Trudy Mat. Inst. Steklov., 164 (1983),  37–48  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 164 (1985), 43–54 1
1982
41. V. A. Skvortsov, “Constructive variant of the definition of an HD-integral”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 6,  41–45  mathnet  mathscinet  zmath 2
42. V. A. Skvortsov, “An example of a $U$-set for the Walsh system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 5,  53–55  mathnet  mathscinet  zmath
43. V. A. Skvortsov, “On Cesaro means of Fourier series with respect to multiplicative systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 1,  7–11  mathnet  mathscinet  zmath
1981
44. V. A. Skvortsov, “Certain estimates of approximation of functions by Cesаro means of Walsh–Fourier series”, Mat. Zametki, 29:4 (1981),  539–547  mathnet  mathscinet  zmath; Math. Notes, 29:4 (1981), 277–282  isi 5
1980
45. V. A. Skvortsov, “Example of a Walsh series”, Mat. Zametki, 28:5 (1980),  737–748  mathnet  mathscinet  zmath; Math. Notes, 28:5 (1980), 823–829  isi 1
46. V. A. Skvortsov, “Example of a double Haar series”, Mat. Zametki, 28:3 (1980),  343–353  mathnet  mathscinet  zmath; Math. Notes, 28:3 (1980), 639–644  isi
47. V. A. Skvortsov, “Walsh series, convergent with respect to subsequences of partial sums”, Mat. Zametki, 28:1 (1980),  45–52  mathnet  mathscinet  zmath; Math. Notes, 28:1 (1980), 486–490  isi
1977
48. V. A. Skvortsov, “On the rate of approach to zero of the coefficients of null series in the Haar and Walsh systems”, Izv. Akad. Nauk SSSR Ser. Mat., 41:3 (1977),  703–716  mathnet  mathscinet  zmath; Math. USSR-Izv., 11:3 (1977), 665–676 2
49. V. A. Skvortsov, “The $h$-measure of $M$-sets for a Walsh system”, Mat. Zametki, 21:3 (1977),  335–340  mathnet  mathscinet  zmath; Math. Notes, 21:3 (1977), 186–189 4
50. V. A. Skvortsov, “On the uniqueness condition for the representation of functions by Walsh series”, Mat. Zametki, 21:2 (1977),  187–197  mathnet  mathscinet  zmath; Math. Notes, 21:2 (1977), 105–111
1976
51. V. A. Skvortsov, “An example of a zero series expansion in the Walsh system”, Mat. Zametki, 19:2 (1976),  179–186  mathnet  mathscinet  zmath; Math. Notes, 19:2 (1976), 108–112 3
1975
52. V. A. Skvortsov, “Example of a Walsh series with a subsequence of partial sums converging everywhere to zero”, Mat. Sb. (N.S.), 97(139):4(8) (1975),  517–539  mathnet  mathscinet  zmath; Math. USSR-Sb., 26:4 (1975), 471–491 3
1974
53. V. A. Skvortsov, “On the uniqueness of a Walsh series converging on subsequences of partial sum”, Mat. Zametki, 16:1 (1974),  27–32  mathnet  mathscinet  zmath; Math. Notes, 16:1 (1974), 600–603
1973
54. V. A. Skvortsov, “Uniqueness sets for multiple Haar series”, Mat. Zametki, 14:6 (1973),  789–798  mathnet  mathscinet  zmath; Math. Notes, 14:6 (1973), 1011–1016 11
55. V. A. Skvortsov, “Some generalizations of uniqueness theorems for series in Walsh systems”, Mat. Zametki, 13:3 (1973),  367–372  mathnet  mathscinet  zmath; Math. Notes, 13:3 (1973), 224–227 4
1971
56. I. A. Vinogradova, V. A. Skvortsov, “Generalized integrals and Fourier series”, Itogi Nauki. Ser. Matematika. Mat. Anal. 1970, 1971,  65–107  mathnet  mathscinet  zmath; J. Soviet Math., 1:6 (1973), 677–703 10
57. V. A. Skvortsov, “Theorems concerning the uniqueness of Haar series for summation methods”, Mat. Zametki, 9:4 (1971),  449–458  mathnet  mathscinet  zmath; Math. Notes, 9:4 (1971), 258–262 1
1968
58. V. A. Skvortsov, “Haar series with convergent subsequences of partial sums”, Dokl. Akad. Nauk SSSR, 183:4 (1968),  784–786  mathnet  mathscinet  zmath 6
59. V. A. Skvortsov, “On the uniqueness of a Haar series that converges with respect to subsequences of partial sums”, Mat. Zametki, 4:6 (1968),  707–714  mathnet  mathscinet  zmath; Math. Notes, 4:6 (1968), 913–917 2
60. V. A. Skvortsov, “Differentiation with respect to nets and the Haar series”, Mat. Zametki, 4:1 (1968),  33–40  mathnet  mathscinet  zmath; Math. Notes, 4:1 (1968), 509–513 10
61. V. A. Skvortsov, “Calculation of the coefficients of an everywhere convergent Haar series”, Mat. Sb. (N.S.), 75(117):3 (1968),  349–360  mathnet  mathscinet  zmath; Math. USSR-Sb., 4:3 (1968), 317–327 12
1966
62. V. A. Skvortsov, “Interconnection between Taylor's $AP$-integral and James' $P^2$-integral”, Mat. Sb. (N.S.), 70(112):3 (1966),  380–393  mathnet  mathscinet  zmath 1
1964
63. V. A. Skvortsov, “On integrating the exact Schwarzian derivative”, Mat. Sb. (N.S.), 63(105):3 (1964),  329–340  mathnet  mathscinet  zmath
1963
64. V. A. Skvortsov, “Some properties of the $CP$-integral”, Mat. Sb. (N.S.), 60(102):3 (1963),  304–324  mathnet  mathscinet  zmath 4
1960
65. V. A. Skvortsov, “Interrelation between general Denjoy integrals and totalization $(T_{2S})_0$”, Mat. Sb. (N.S.), 52(94):1 (1960),  551–578  mathnet  mathscinet  zmath

2021
66. 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)”, Uspekhi Mat. Nauk, 76:2(458) (2021),  185–186  mathnet  mathscinet  zmath; Russian Math. Surveys, 76:2 (2021), 369–371  isi
2019
67. 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, “Taras Pavlovich Lukashenko (to 70th anniversary)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 2,  70–71  mathnet
1985
68. D. E. Men'shov, V. A. Skvortsov, P. L. Ul'yanov, “On the 70th anniversary of Luzin function theory seminar”, Uspekhi Mat. Nauk, 40:3(243) (1985),  219–225  mathnet
1982
69. A. N. Kolmogorov, S. M. Nikol'skii, V. A. Skvortsov, P. L. Ul'yanov, “Dmitrii Evgen'evich Men'shov (on his ninetieth birthday)”, Uspekhi Mat. Nauk, 37:5(227) (1982),  209–219  mathnet  mathscinet  zmath; Russian Math. Surveys, 37:5 (1982), 202–215  isi 3

Presentations in Math-Net.Ru
1. Представление функций рядами по системам Хаара, Уолша и их обобщениям
В. А. Скворцов
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 29, 2015 14:30

Organisations