Vladimir A. ZOLOTAREV

(Vladimir ZOLOTAREV)

 
 
Mathematical Division
47 Lenin ave.
Kharkiv, 61103,
UKRAINE
 
Tel: +38057-340-0966
 
     
 
 
   
 
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Curriculum Vitae

Date of Birth:

 

October 6, 1951.

 

 

Citizenship:

 

Ukrainian

 

 

Education:

 

M.S.

 

Faculty of Mechanics and Mathematics, Kharkiv National University, June 18, 1973;

Ph.D.

 

Kharkiv National  University, October 6, 1978. Title: "Multidimensional triangular models of systems of linear operators". Supervisor M. S. Livsic

 

D.Sc.

 

Kharkiv National  University, October 31, 1994. Title: "Model representations of Lie algebras of linear non-selfadjoint operators". 

Permanent Positions:

 

02.2010 till now

 

Leading Research Fellow,  Mathematical Division, Institute for Low Temperature Physics & Engineering of the National Academy of Sciences of Ukraine;

 

12.1994-02.2010   Full Professor, Dept. of Higher Mathematics and Informatics, Kharkiv National University 

 

05.1983-12.1994   Assotiate Professor, Dept. of Higher Mathematics and Informatics, Kharkiv National University 
10.1983-12.1994   Senior lecturer, Dept. of General Mathematics, Kharkiv National University 

 

11.1976-10.1983   Senior lecturer, Dept. of General Mathematics, Kharkiv National University 
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Research interests:

FUNCTIONAL ANALYSIS AND THEORY OF FUNCTIONS:

 

Models of Representation of Operator Systems,

 

Scattering Theory,

 

Riemann Surfaces,

 

Random Processes.
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List of principal publications

Monograph

  1. Zolotarev V. A., Analytical methods of spectral represantations of non-selfadjoint and non-unitary operators. Kharkiv National University Publ., 2003, 342 pp.

Papers

  1. Zolotarev V. A., Properties of characteristic function of commutative system of unbounted nonselfadjoint operators, Journal of Math. Phys., Anal., Geom., 2010, Vol. 6, No. 2, 192-228.
  2. Zolotarev V. A., Hatamleh R., Potapov –Ginsburg transformation and functional models of non-dissipative operators, Serdica Math. J., 2009, Vol. 35, 343-358.
  3. Zolotarev V. A., On commutative systems of nonselfadjoint unbounded linear operators, Journal of Math. Phys., Anal., Geom., 2009, Vol. 5, No. 3, 275-295.
  4. Zolotarev V. A., Functional models for commutative systems of linear operators, Matem. Sb., 2009, Vol. 200, No. 3, 31-48 (in Russian); engl. translation in Sbornik: Mathematics, 2009, Vol. 5, No. 3, 339-356.
  5. Zolotarev V. A., Functional models of commutative operator systems, Journal of Math. Phys., Anal., Geom., 2008, Vol. 4, No. 3, 420-440.
  6. Zolotarev V., Hatamleh R., On connection between characteristic functions and the Caratheodori class functions, Serdica math. j., 2006, Vol. 32, 289-302.
  7. Zolotarev V. A., Scattering scheme with many parameters and translational models of commutative operator systems,Journal of Math. Phys., Anal., Geom., 2007, Vol. 3, No. 4, 424-447.
  8. Zolotarev V. A., Isometric expansions of quantum algebra of linear bounded operatorJournal of Math. Phys., Anal., Geom., 2006, Vol. 2, No. 2, 207-224.
  9. Zolotarev V. A., Rozumenko O. V., Pavlov functional model of bounded non-selfadjoint operator, Visnyk Kharkivs'kogo Natsional'nogo Universytetu, 2006, No. 749, 30-49 (in Russian).
  10. Zolotarev V. A., Isometric dilations of commutative systems of linear operators, Journal of Math. Phys., Anal., Geom., 2006, Vol. 2, No. 2, 192-208.
  11. Zolotarev V. A., Syrovatskiy V. N., De Branges transform relative to circle, Visnyk Kharkivs'kogo Natsional'nogo Universytetu, 2005, No. 701, 80-92 (in Russian).
  12. Zolotarev V. A., On isometric dilations of commutative systems of linear operators , Journal of Math. Phys., Anal., Geom., 2005, Vol. 1, No. 2, 192-208.
  13. Zolotarev V. A., Isometric expansions of commutative operator systems, Matem. Fizika, Analiz, Geometriya, 2004, Vol. 11, No. 3, 282-301 (in Russian)
  14. Zolotarev V. A., L. de Branges spaces and functional models of non-dissipative operators, Matem. Fizika, Analiz, Geometriya., 2002, Vol. 9, No. 4, 622-641 (in Russian).
  15. Zolotarev V. A., Functional model of bounded operator, Matem. Fizika, Analiz, Geometriya., 2001, Vol. 2, No. 2, 158-174 (in Russian).
  16. Zolotarev V. A., Functional models for the Lie algebra SL(2,R) of linear non-selfadjoint operators, D. Alpay and V. Vinnikov (editors), Operator Theory, System Theory and Related Topics (The Moche Livsic Anniversary Volume), Operator Theory: Advance and Applications, 2000, Birkhauser, Basel, 549-578.
  17. Zolotarev V. A., Functional model for Lie algebra ISO(1,1) of linear non-selfadjoint operators, Matem. Sb., 1995, Vol. 186, No. 1, 76-106 (in Russian).
  18. Zolotarev V., Kirchev K., Nonstationary curves in Hilbert spaces and their correlation function, Integr. Equat. Oper. Theory, 1994, Vol. 19, 270-289, 447-457.
  19. Zolotarev V. A., Functional model of a Lie algebra, Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya (Kharkov), 1993, No. 58, 80-86 (in Russian).
  20. Zolotarev V. A., Lax-Fillips scattering scheme on groups and functional models of Lie algebra, Matem. Sb., 1992, Vol. 183, No. 5, 115-144 (in Russian).
  21. Zolotarev V. A., Non-stationary curves in Hilbert spaces and non-linear operator equations, Teoriya Operatorov Subgarmonicheskih Funktsiy (Kyiv), 1991, 54-59 (in Russian).
  22. Zolotarev V. A., Functional models on Riemann surface, Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya (Kharkov), 1991, No.56, 123-128 (in Russian).
  23. Zolotarev V. A., Yantsevich A. A., On one class of nonlinear operator equations with non-selfadjoint second member, Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya (Kharkov), 1991, No. 55, 74-78 (in Russian).
  24. Zolotarev V. A., Time cones and functional model on Riemann surface, Matem. Sb., 1990, Vol. 181, No. 7, 965-994 (in Russian).
  25. Zolotarev V. A., Model representations of commuting systems of linear operators, Funktsionalniy Analiz i Yego Pril., 1988, No. 22, 66-68.
  26. Zolotarev V. A., Universal models of operators with given restrictions on resolvent growth, Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya (Kharkov), 1986, No. 45, 40-45.
  27. Zolotarev V. A., La factorisation des fonctions des operateurs de transmission et la methode de la construction d'operateurs inversible dans L2(0,1), J. Operator Theory., 1984, No. 12, 127-157 (in French).
  28. Zolotarev V. A., La factorisation des fonctions des operateurs de transmission et la methode de la construction d'operateurs inversible dans L2(0,1), Preprint, Lab. d'analyse numerique, Universite, Paris VI, 1983, 46 pp. (in French).
  29. Zolotarev V. A., Le models triangulaires et founctionnels de colligations commutatives unitaires metrique, Preprint, Lab. d'analyse numerique, Universite, Paris VI, 1983, 52 pp. (in French).
  30. Zolotarev V. A., Spectral analysis of non-selfadjoint commutative operator systems and nonlinear differential equations, Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya (Kharkov), 1983, No. 40, 68-71 (in Russian).
  31. Zolotarev V. A., Triangular models of systems of non-commuting operators, Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya (Kharkov), 1979, No. 31, 56-58 (in Russian).
  32. Zolotarev V. A., On triangular models of systems of twice commuting operators, DAN Arm SSR, 1976, Vol. 63, No. 3, 136-140.
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Last modified June 4, 2010