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Dyukarev, Yury Mikhailovich
Statistics Math-Net.Ru
Total publications: 16
Scientific articles: 16
Presentations: 1

Number of views:
This page:1479
Abstract pages:6595
Full texts:2457
References:879
Associate professor
Doctor of physico-mathematical sciences
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: Stieltjes matrix moment problem, Nevanlinna–Pick matrix interpolation problem, matrix power moment problem in compact interval, Blaschke–Potapov products.
   
Main publications:
  1. Yu. M. Dyukarev, “Primery blochnykh matrits Yakobi, porozhdayuschikh simmetricheskie operatory s lyubymi vozmozhnymi defektnymi chislami”, Matem. sb., 201:12 (2010), 83–92  mathnet
  2. Yu. M. Dyukarev, “Obobschennyi kriterii Stiltesa polnoi neopredelennosti interpolyatsionnykh zadach”, Matem. zametki, 84:1 (2008), 23–39  mathnet  mathscinet; Math. Notes, 84:1 (2008), 22–37  crossref  isi
  3. Yu. M. Dyukarev, “O neopredelennosti interpolyatsionnykh zadach v klasse Stiltesa”, Matem. sb., 196:3 (2005), 61–88  mathnet  mathscinet  zmath; Sb. Math., 196:3 (2005), 367–393  crossref  isi
  4. Yu. M. Dyukarev, “Faktorizatsiya operator-funktsii multiplikativnogo klassa Stiltesa”, Doklady NAN Ukrainy, 2000, № 9, 23–26

https://www.mathnet.ru/eng/person17597
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/211637

Publications in Math-Net.Ru Citations
2018
1. Yu. M. Dyukarev, “The zeros of determinants of matrix-valued polynomials that are orthonormal on a semi-infinite or finite interval”, Mat. Sb., 209:12 (2018),  75–86  mathnet  mathscinet  elib; Sb. Math., 209:12 (2018), 1745–1755  isi  scopus
2017
2. Yu. M. Dyukarev, I. Yu. Serikova, “Step-by-step solving of ordered interpolational problem for Stieltjes functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 6,  18–32  mathnet; Russian Math. (Iz. VUZ), 61:6 (2017), 13–26  isi  scopus 1
2016
3. Yu. M. Dyukarev, “Geometric and operator measures of degeneracy for the set of solutions to the Stieltjes matrix moment problem”, Mat. Sb., 207:4 (2016),  47–64  mathnet  mathscinet  elib; Sb. Math., 207:4 (2016), 519–536  isi  scopus 4
2015
4. Yu. M. Dyukarev, “The criterion for the complete indeterminacy of limiting interpolation problem of Stieltjes type in terms of the orthonormal matrix functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 4,  3–16  mathnet; Russian Math. (Iz. VUZ), 59:4 (2015), 1–12  scopus 2
2014
5. Yu. M. Dyukarev, A. E. Choque Rivero, “Criterion for the Complete Indeterminacy of the Nevanlinna–Pick Matrix Problem”, Mat. Zametki, 96:5 (2014),  658–673  mathnet  mathscinet  zmath  elib; Math. Notes, 96:5 (2014), 651–665  isi  scopus 1
2012
6. Yu. M. Dyukarev, A. E. Choque Rivero, “The Matrix Version of Hamburger's Theorem”, Mat. Zametki, 91:4 (2012),  522–529  mathnet  mathscinet  elib; Math. Notes, 91:4 (2012), 493–499  isi  elib  scopus 6
2010
7. Yu. M. Dyukarev, “Examples of block Jacobi matrices generating symmetric operators with arbitrary possible values of the deficiency numbers”, Mat. Sb., 201:12 (2010),  83–92  mathnet  mathscinet  zmath  elib; Sb. Math., 201:12 (2010), 1791–1800  isi  elib  scopus 14
2008
8. Yu. M. Dyukarev, “A Generalized Stieltjes Criterion for the Complete Indeterminacy of Interpolation Problems”, Mat. Zametki, 84:1 (2008),  23–39  mathnet  mathscinet  elib; Math. Notes, 84:1 (2008), 22–37  isi  scopus 14
2007
9. Yu. M. Dyukarev, I. Yu. Serikova, “Complete indeterminacy of the Nevanlinna–Pick problem in the class $S[a,b]$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 11,  19–30  mathnet  mathscinet  elib; Russian Math. (Iz. VUZ), 51:11 (2007), 17–29 1
2006
10. Yu. M. Dyukarev, “Deficiency numbers of symmetric operators generated by block Jacobi matrices”, Mat. Sb., 197:8 (2006),  73–100  mathnet  mathscinet  zmath  elib; Sb. Math., 197:8 (2006), 1177–1203  isi  scopus 17
2005
11. Yu. M. Dyukarev, “Indeterminacy of interpolation problems in the Stieltjes class”, Mat. Sb., 196:3 (2005),  61–88  mathnet  mathscinet  zmath  elib; Sb. Math., 196:3 (2005), 367–393  isi  scopus 13
2004
12. Yu. M. Dyukarev, “On the indeterminacy of interpolation problems for Nevanlinna functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 8,  26–38  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 48:8 (2004), 24–36
13. Yu. M. Dyukarev, “Indeterminacy Criteria for the Stieltjes Matrix Moment Problem”, Mat. Zametki, 75:1 (2004),  71–88  mathnet  mathscinet  zmath  elib; Math. Notes, 75:1 (2004), 66–82  isi 42
2003
14. Yu. M. Dyukarev, A. E. Choke Rivero, “The Nevanlinna–Pick problem in the class ${\mathcal S}[a,b]$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 2,  36–45  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:2 (2003), 34–43 2
2001
15. Yu. M. Dyukarev, A. E. Choque Rivero, “Power Moment Problem on Compact Intervals”, Mat. Zametki, 69:2 (2001),  200–213  mathnet  mathscinet  zmath  elib; Math. Notes, 69:2 (2001), 175–187  isi 11
1999
16. Yu. M. Dyukarev, “General scheme of solution interpolation problem in Stieltjes class based on consistent representation of the pair of the non-negative operators. I”, Mat. Fiz. Anal. Geom., 6:1/2 (1999),  30–54  mathnet  mathscinet  zmath 10

Presentations in Math-Net.Ru
1. Geometric and Operator Measures of Degeneracy for the Matrix Moment Problems of Hamburger and Stieltjes
Yu. M. Dyukarev
Seminar on Complex Analysis (Gonchar Seminar)
October 12, 2015 18:00

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