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Tsar'kov, Igor' Germanovich

Statistics Math-Net.Ru
Total publications: 61
Scientific articles: 59
Presentations: 7

Number of views:
This page:3859
Abstract pages:15359
Full texts:4580
References:1727
Professor
Doctor of physico-mathematical sciences (1996)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 5.01.1960
E-mail: ,
Keywords: approximations, smooth approximations, extension of maps.
   
Main publications:
  • Ogranichennye chebyshevskie mnozhestva v konechnomernykh banakhovykh prostranstvakh // Matematicheskie zametki. T. 36, # 1. 1984. S. 73–87.
  • O kompaktnykh i slabo kompaktnykh chebyshevskikh mnozhestvakh v lineinykh normirovannykh prostranstvakh // Trudy MIAN. T. 189. 1989. S. 169–184.
  • Neravenstvo tipa Dzheksona dlya abstraktnykh funktsii // Matematicheskii sbornik. T. 180, # 5. 1989. S. 121–123.
  • O globalnom suschestvovanii neyavnoi funktsii // Matematicheskii sbornik. T. 184, # 7. 1993. S. 79–116.
  • Sglazhivanie abstraktnykh funktsii // Matematicheskii sbornik. T. 185, # 11. 1994. S. 119–144.

http://www.mathnet.ru/eng/person8789
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/212301

Publications in Math-Net.Ru
2021
1. I. G. Tsar'kov, “Properties of monotone path-connected sets”, Izv. RAN. Ser. Mat., 85:2 (2021),  142–171  mathnet  elib; Izv. Math., 85:2 (2021), 306–331  scopus
2. A. R. Alimov, I. G. Tsar'kov, “Smoothness of subspace sections of the unit balls of $C(Q)$ and $L^1$”, J. Approx. Theory, 65 (2021),  105552–8  mathnet  isi  scopus
3. I. G. Tsar'kov, “Properties of Monotone Connected Sets”, Mat. Zametki, 109:5 (2021),  781–792  mathnet; Math. Notes, 109:5 (2021), 819–827
2020
4. I. G. Tsar'kov, “The Geometry of a Singular Set of Hypersurfaces and the Eikonal Equation”, Mat. Zametki, 108:3 (2020),  441–451  mathnet  elib; Math. Notes, 108:3 (2020), 426–433  isi  scopus
5. I. G. Tsar'kov, “Approximative properties of sets and continuous selections”, Mat. Sb., 211:8 (2020),  132–157  mathnet  elib; Sb. Math., 211:8 (2020), 1190–1211  isi  scopus
2019
6. I. G. Tsar'kov, “Smooth solutions of the eikonal equation and the behaviour of local minima of the distance function”, Izv. RAN. Ser. Mat., 83:6 (2019),  167–194  mathnet  mathscinet  elib; Izv. Math., 83:6 (2019), 1234–1258  isi  scopus
7. I. G. Tsar'kov, “Local Approximation Properties of Sets and Continuous Selections on Them”, Mat. Zametki, 106:6 (2019),  924–939  mathnet  mathscinet  elib; Math. Notes, 106:6 (2019), 995–1008  isi  scopus
8. A. R. Alimov, I. G. Tsar'kov, “Chebyshev centres, Jung constants, and their applications”, Uspekhi Mat. Nauk, 74:5(449) (2019),  3–82  mathnet  mathscinet  elib; Russian Math. Surveys, 74:5 (2019), 775–849  isi  scopus
9. I. G. Tsar'kov, “Weakly monotone sets and continuous selection in asymmetric spaces”, Mat. Sb., 210:9 (2019),  129–152  mathnet  mathscinet  elib; Sb. Math., 210:9 (2019), 1326–1347  isi  scopus
2018
10. I. G. Tsar'kov, “Continuous selections for metric projection operators and for their generalizations”, Izv. RAN. Ser. Mat., 82:4 (2018),  199–224  mathnet  mathscinet  elib; Izv. Math., 82:4 (2018), 837–859  isi  scopus
11. I. G. Tsar'kov, “New Criteria for the Existence of a Continuous $\varepsilon$-Selection”, Mat. Zametki, 104:5 (2018),  745–754  mathnet  mathscinet  elib; Math. Notes, 104:5 (2018), 727–734  isi  scopus
12. I. G. Tsar'kov, “Continuous selections in asymmetric spaces”, Mat. Sb., 209:4 (2018),  95–116  mathnet  mathscinet  elib; Sb. Math., 209:4 (2018), 560–579  isi  scopus
13. I. G. Tsar'kov, “Stability of the relative Chebyshev projection in polyhedral spaces”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:4 (2018),  235–245  mathnet  elib
14. I. G. Tsar'kov, “Weakly monotone sets and continuous selection from a near-best approximation operator”, Trudy MIAN, 303 (2018),  246–257  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 303 (2018), 227–238  isi  scopus
2017
15. I. G. Tsar'kov, “Continuous selection for set-valued mappings”, Izv. RAN. Ser. Mat., 81:3 (2017),  189–216  mathnet  mathscinet  elib; Izv. Math., 81:3 (2017), 645–669  isi  scopus
16. I. G. Tsar'kov, “Some applications of geometric theory of approximations”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 143 (2017),  63–80  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 245:1 (2020), 64–82
17. I. G. Tsar'kov, “Continuous $\varepsilon$-Selection and Monotone Path-Connected Sets”, Mat. Zametki, 101:6 (2017),  919–931  mathnet  mathscinet  elib; Math. Notes, 101:6 (2017), 1040–1049  isi  scopus
2016
18. I. G. Tsar'kov, “Local and global continuous $\varepsilon$-selection”, Izv. RAN. Ser. Mat., 80:2 (2016),  165–184  mathnet  mathscinet  zmath  elib; Izv. Math., 80:2 (2016), 442–461  isi  scopus
19. A. R. Alimov, I. G. Tsar'kov, “Connectedness and solarity in problems of best and near-best approximation”, Uspekhi Mat. Nauk, 71:1(427) (2016),  3–84  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 71:1 (2016), 1–77  isi  scopus
20. I. G. Tsar'kov, “Continuous $\varepsilon$-selection”, Mat. Sb., 207:2 (2016),  123–142  mathnet  mathscinet  zmath  elib; Sb. Math., 207:2 (2016), 267–285  isi  scopus
2014
21. A. R. Alimov, I. G. Tsar'kov, “Connectedness and other geometric properties of suns and Chebyshev sets”, Fundam. Prikl. Mat., 19:4 (2014),  21–91  mathnet  mathscinet; J. Math. Sci., 217:6 (2016), 683–730
2011
22. V. V. Arestov, V. I. Berdyshev, N. I. Chernykh, T. V. Demina, N. N. Kholschevnikova, S. V. Konyagin, Yu. N. Subbotin, S. A. Telyakovskii, I. G. Tsar'kov, V. A. Yudin, “Exposition of the lectures by S. B. Stechkin on approximation theory”, Eurasian Math. J., 2:4 (2011),  5–155  mathnet  mathscinet  zmath
23. I. G. Tsar'kov, “Stability of Unique Solvability of Quasilinear Equations Given Additional Data”, Mat. Zametki, 90:6 (2011),  918–946  mathnet  mathscinet; Math. Notes, 90:6 (2011), 894–919  isi  scopus
24. I. G. Tsar'kov, “Properties of Sets Admitting Stable $\varepsilon$-Selections”, Mat. Zametki, 89:4 (2011),  608–613  mathnet  mathscinet; Math. Notes, 89:4 (2011), 572–576  isi  scopus
25. I. G. Tsar'kov, “Approximative compactness and nonuniqueness in variational problems, and applications to differential equations”, Mat. Sb., 202:6 (2011),  133–158  mathnet  mathscinet  zmath  elib; Sb. Math., 202:6 (2011), 909–934  isi  scopus
2008
26. I. G. Tsar'kov, “Stability of the unique solvability for some differential equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008),  170–182  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S185–S198  isi  scopus
2006
27. I. G. Tsar'kov, “Local Smoothing of Uniformly Smooth Maps”, Funktsional. Anal. i Prilozhen., 40:3 (2006),  44–52  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 40:3 (2006), 200–206  isi  scopus
28. I. G. Tsar'kov, “Stability of Unique Solvability in an Ill-Posed Dirichlet Problem”, Mat. Zametki, 79:2 (2006),  294–308  mathnet  mathscinet  zmath  elib; Math. Notes, 79:2 (2006), 268–282  isi  scopus
2005
29. I. G. Tsar'kov, “Smoothing of Hilbert-valued uniformly continuous maps”, Izv. RAN. Ser. Mat., 69:4 (2005),  149–160  mathnet  mathscinet  zmath  elib; Izv. Math., 69:4 (2005), 149–160  scopus
30. I. G. Tsar'kov, “Localization of smooth and smoothing of uniformly continuous mappings”, Trudy Inst. Mat. i Mekh. UrO RAN, 11:2 (2005),  182–195  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S196–S210
2004
31. I. G. Tsar'kov, “Nonunique Solvability of Certain Differential Equations and Their Connection with Geometric Approximation Theory”, Mat. Zametki, 75:2 (2004),  287–301  mathnet  mathscinet  zmath; Math. Notes, 75:2 (2004), 259–271  isi
1999
32. I. G. Tsar'kov, E. T. Shavgulidze, “Smooth Isometric Immersions into the Infinite-Dimensional Sphere”, Funktsional. Anal. i Prilozhen., 33:3 (1999),  93–95  mathnet  mathscinet  zmath; Funct. Anal. Appl., 33:3 (1999), 239–240  isi
33. I. G. Tsar'kov, “Extension of Hilbert-valued Lipschitz mappings”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, 6,  9–16  mathnet  mathscinet  zmath
1997
34. M. I. Karlov, I. G. Tsar'kov, “Convexity and connectedness of Chebyshev sets and suns”, Fundam. Prikl. Mat., 3:4 (1997),  967–978  mathnet  mathscinet  zmath
35. I. G. Tsar'kov, “Smoothing of functions in finite-dimensional Banach spaces”, Izv. RAN. Ser. Mat., 61:1 (1997),  199–214  mathnet  mathscinet  zmath; Izv. Math., 61:1 (1997), 207–223  isi  scopus
36. I. G. Tsar'kov, “Smoothing of Functions on a Hilbert Ball”, Trudy MIAN, 219 (1997),  410–419  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 219 (1997), 403–412
1996
37. I. G. Tsar'kov, “On $\epsilon$-selections”, Dokl. Akad. Nauk, 349:6 (1996),  747–748  mathnet  mathscinet  zmath
38. I. G. Tsar'kov, “On smooth selections from sets of almost Chebyshev centers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, 2,  92–94  mathnet  mathscinet  zmath
1995
39. I. G. Tsar'kov, “Polynomial Approximation of Vector Functions”, Funktsional. Anal. i Prilozhen., 29:3 (1995),  93–95  mathnet  mathscinet  zmath; Funct. Anal. Appl., 29:3 (1995), 222–223  isi
40. I. G. Tsar'kov, “On the extension and smoothing of vector-valued functions”, Izv. RAN. Ser. Mat., 59:4 (1995),  187–220  mathnet  mathscinet  zmath; Izv. Math., 59:4 (1995), 847–879  isi
41. I. G. Tsar'kov, “Some topics on the continuation and smoothing of vector functions”, Mat. Zametki, 58:6 (1995),  906–916  mathnet  mathscinet  zmath; Math. Notes, 58:6 (1995), 1327–1335  isi
42. I. G. Tsar'kov, “Right inverse operators and $\varepsilon$-selections”, Uspekhi Mat. Nauk, 50:2(302) (1995),  207–208  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:2 (1995), 453–454  isi
43. I. G. Tsar'kov, “Some theorems on function smoothing”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, 1,  79–81  mathnet  mathscinet  zmath
1994
44. I. G. Tsar'kov, “Extension theorems and approximation of functions in Banach spaces”, Dokl. Akad. Nauk, 338:6 (1994),  740–741  mathnet  mathscinet  zmath; Dokl. Math., 50:2 (1995), 348–350
45. I. G. Tsar'kov, “Linear methods in some smoothing problems”, Mat. Zametki, 56:6 (1994),  64–87  mathnet  mathscinet  zmath; Math. Notes, 56:6 (1994), 1255–1270  isi
46. I. G. Tsar'kov, “Smoothing of abstract functions”, Mat. Sb., 185:11 (1994),  119–144  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 83:2 (1995), 405–430  isi
1993
47. I. G. Tsar'kov, “Smoothing of uniformly continuous mappings in $L_p$ spaces”, Mat. Zametki, 54:3 (1993),  123–140  mathnet  mathscinet  zmath; Math. Notes, 54:3 (1993), 957–967  isi
48. I. G. Tsar'kov, “On global existence of an implicit function”, Mat. Sb., 184:7 (1993),  79–116  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 79:2 (1994), 287–313  isi
1992
49. I. G. Tsar'kov, “Theorems on the global existence of an implicit function and their applications”, Dokl. Akad. Nauk, 324:4 (1992),  754–756  mathnet  mathscinet  zmath; Dokl. Math., 45:3 (1992), 638–640
50. I. G. Tsar'kov, “Widths and Jackson's type inequality for abstract functions”, Trudy Mat. Inst. Steklov., 198 (1992),  219–231  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 198 (1994), 209–221
1990
51. I. G. Tsar'kov, “Properties of the sets that have a continuous selection from the operator $P^\delta$”, Mat. Zametki, 48:4 (1990),  122–131  mathnet  mathscinet  zmath; Math. Notes, 48:4 (1990), 1052–1058  isi
52. I. G. Tsar'kov, “Continuity of the metric projection, structural and approximate properties of sets”, Mat. Zametki, 47:2 (1990),  137–148  mathnet  mathscinet  zmath; Math. Notes, 47:2 (1990), 218–227  isi
1989
53. I. G. Tsar'kov, “Local ‘homogeneity’ of sets of uniqueness”, Mat. Zametki, 45:5 (1989),  121–123  mathnet  mathscinet  zmath
54. I. G. Tsar'kov, “The inequality of Jackson type for abstract functions”, Mat. Sb., 180:5 (1989),  676–699  mathnet  mathscinet  zmath; Math. USSR-Sb., 67:1 (1990), 117–142  isi
55. I. G. Tsar'kov, “Compact and weakly compact Chebyshev sets in linear normed spaces”, Trudy Mat. Inst. Steklov., 189 (1989),  169–184  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 189 (1990), 199–215
1988
56. I. G. Tsar'kov, “Compact and weakly compact Chebyshev sets in linear normed spaces”, Dokl. Akad. Nauk SSSR, 300:1 (1988),  41–42  mathnet  mathscinet  zmath; Dokl. Math., 37:3 (1988), 629–631
57. S. V. Konyagin, I. G. Tsar'kov, “On smoothing of maps in normed spaces”, Uspekhi Mat. Nauk, 43:4(262) (1988),  205–206  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:4 (1988), 213–214  isi
1986
58. I. G. Tsar'kov, “Relations between certain classes of sets in Banach spaces”, Mat. Zametki, 40:2 (1986),  174–196  mathnet  mathscinet  zmath; Math. Notes, 40:2 (1986), 597–610  isi
59. S. V. Konyagin, I. G. Tsar'kov, “Efimov–Stechkin spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, 5,  20–27  mathnet  mathscinet  zmath
1984
60. I. G. Tsar'kov, “Bounded Chebyshev sets in finite-dimensional Banach spaces”, Mat. Zametki, 36:1 (1984),  73–87  mathnet  mathscinet  zmath; Math. Notes, 36:1 (1984), 530–537  isi

2010
61. N. N. Andreev, S. V. Konyagin, A. G. Sergeev, Yu. N. Subbotin, S. A. Telyakovskii, N. N. Kholshchevnikova, I. G. Tsar'kov, “International conference “Approximation theory” (Moscow, 23–26 august 2010)”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  314–315  mathnet  elib
2008
62. V. I. Berdyshev, V. A. Kaminsky, S. V. Konyagin, B. P. Osilenker, M. V. Samokhin, S. A. Telyakovskii, I. G. Tsar'kov, V. A. Shmatkov, “Alexandr L'vovich Garkavi (obituary)”, Uspekhi Mat. Nauk, 63:3(381) (2008),  147–148  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 63:3 (2008), 547–549  isi

Presentations in Math-Net.Ru
1. Законы преломления и отражения в неевклидовых пространствах, каустика, приложения к астрофизике
I. G. Tsar'kov
Differential equations, analysis and control: theory and applications
March 15, 2021 18:25
2. Решение задач о гладких C^1-решений уравнения эйконала, принцип отражения, зеркала
I. G. Tsar'kov, A. R. Alimov
Geometric theory of optimal control
March 14, 2018 18:30
3. Экстремумы функции-расстояния, уравнение эйконала и связанные с ним геометрические задачи
I. G. Tsar'kov
Differential equations, analysis and control: theory and applications
February 12, 2018 18:25
4. Гладкие решения уравнения эйконала и поведение локальных минимумов функции расстояния
I. G. Tsar'kov
Seminar on Theory of Functions of Real Variables
December 1, 2017 18:30
5. Слабо монотонные множества относительно определяющих множеств. Связь с непрерывными $(r,\varepsilon)$-выборками
I. G. Tsar'kov
Seminar on Approximation Theory
November 2, 2017 10:30
6. Достаточные условия существования непрерывной $\varepsilon$-выборки
I. G. Tsar'kov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 25, 2015 17:55

Organisations
 
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