List of Publications:


(highlighted papers are available for download as PDF files)   

BOOKS


  1. Yu. Arlinskii, S.V. Belyi, E.R. Tsekanovskii, Conservative Realizations of Herglotz-Nevanlinna functions, Birkhauser Verlag, Operator Theory: Advances and Applications, Vol. 217, (2011). ISBN 978-3-7643-9995-5

  2. Yu. Arlinskii, S.V. Belyi, E.R. Tsekanovskii, Realization of Herglotz-Nevanlinna functions by conservative systems, a chapter in Operator Theory, (D. Alpay (Editor)), Springer, New York, (2015), pp. 779--809. ISBN 978-3-0348-0666-4

PAPERS


  1. S.V. Belyi, E.R. Tsekanovskii, Perturbations of Donoghue classes and conservative realization, (in preparation)

  2. S.V. Belyi, E.R. Tsekanovskii, On Sectorial L-systems with Shrodinger operator, (in preparation)

  3. S.V. Belyi, K.A. Makarov, E.R. Tsekanovskii, On unimodular transformations of conservative L-systems, Operator Theory: Advances and Applications, (2017), (to appear). ArXiv http://arxiv.org/abs/1608.08583

  4. S.V. Belyi, K.A. Makarov, E.R. Tsekanovskii, A system coupling and Donoghue classes of Herglotz-Nevanlinna functions, Complex Analysis and Operator Theory, (2016), 10 (4), pp. 835-880. ArXiv http://arxiv.org/abs/1506.06627.

  5. S.V. Belyi, K.A. Makarov, E.R. Tsekanovskii, Conservative L-systems and the Livsic function, Methods of Functional Analysis and Topology, 21, no. 2, (2015), pp. 104--133. ArXiv http://arxiv.org/abs/1406.2399.

  6. Yu. Arlinskii, S.V. Belyi, Non-negative self-adjoint extensions in rigged Hilbert spaces, Operator Theory: Advances and Applications, vol. 236, (2013), pp. 11-41.

  7. S.V. Belyi, E.R. Tsekanovskii, Sectorial classes of inverse Stieltjes functions and L-systems, Methods of Functional Analysis and Topology, vol. 18, no. 3, (2012), pp. 201-213.

  8. S.V. Belyi, Sectorial Stieltjes functions and their realizations by L-systems with a Schrodinger operator, Mathematische Nachrichten, vol. 285, no. 14-15, (2012), pp. 1729-1740, DOI: 10.1002/mana.201100226,

  9. Yu. Arlinskii, S.V. Belyi, E.R. Tsekanovskii, Accretive (*)-extensions and Realization Problems, Operator Theory: Advances and Applications, Vol. 221, (2012), pp. 71–108

  10. S.V. Belyi, E.R. Tsekanovskii, Inverse Stieltjes like functions and inverse problems for systems with Schrodinger operator, Operator Theory: Advances and Applications, vol. 197, (2009), pp.21-49.

  11. Yu. Arlinskii, S.V. Belyi, V. Derkach, E.R. Tsekanovskii, On realization of the Krein-Langer class Nk of matrix-valued functions in Hilbert spaces with indefinite metric, Mathematische Nachrichten, vol. 241, no. 10, (2008), pp. 1380--1399.

  12. S.V. Belyi, E.R. Tsekanovskii, Stieltjes like functions and inverse problems for systems with Schrodinger operator, Operators and Matrices, vol. 2, no.2, (2008), pp. 265--296.

  13. S.V. Belyi, H.S.V. de Snoo, S. Hassi, E.R. Tsekanovskii, A general realization theorem for matrix-valued Herglotz-Nevanlinna functions, Linear Algebra and Applications, vol. 419 , (2006), pp. 331-358, (in ArXiv http://arxiv.org/abs/math.SP/0510464).

  14. S.V. Belyi, E.R. Tsekanovskii, On Krein's Formula in Indefinite Metric Spaces, Linear Algebra and Applications, vol. 389 C, (2004), pp. 305-322.

  15. S.V. Belyi, G. Menon, Dirac Particle in a box, and Relativistic Quantum Zeno Dynamics, Physics Letters A, , vol. 330,  no. 1-2, (2004), pp. 33-40. 

  16. S.V. Belyi, H.S.V. de Snoo, S. Hassi, E.R. Tsekanovskii, On Realization of Inverse Stieltjes Function, Proceedings of MTNS-2002, (2002).

  17. S.V. Belyi, G. Menon, E. Tsekanovskii, On Krein’s Formula in the Case of Non-densely Defined Symmetric Operator, Jour. of  Math. Anal. and Apps., vol. 264, no. 2, (2001), pp. 598-616.

  18. S.V. Belyi, On Time-invariant Systems, The Jour. of the Alabama Academy of Science, vol. 71, No. 1-2, (2000), p.30-31.

  19. S.V. Belyi, E.R. Tsekanovskii, Multiplication Theorems for J-contractive operator-valued functions, Proceedings of the International Conference on Operator Theory and its Applications to Scientific and Industrial Problems, Fields Institute Communications, Volume 25, (2000), pp. 187--210.

  20. S.V. Belyi, E.R. Tsekanovskii, On classes of realizable operator-valued R-functionsOperator Theory: Advances and Applications, Birkhauser Verlag Basel,  vol.111,  (2000), pp. 85--112.

  21. S.V. Belyi, Inverse Spectral Problems for operator-valued R-functions, The Journal of the Alabama Academy of Science, vol. 69, no. 2, (1998).

  22. S.V. Belyi, E.R. Tsekanovskii, Realization Theorems for operator-valued R-functions, Operator Theory: Advances and Applications, Birkhauser Verlag Basel,  vol.98,  1997, pp. 55-91.

  23. S.V. Belyi, E.R. Tsekanovskii, Realization and Factorization Problems for J-Contractive Operator-valued Functions in Half-Plane and Systems with Unbounded Operators; Systems And Networks: Mathematical Theory and Applications 2, (1994) Akademie Verlag, 621-624.

  24. S.V. Belyi, A.Z. Grinspan, The System Theory Approach to Some Engineering Problems, SAE Technical Series, #932460, 1993.

  25. S.V.Belyi, E.R. Tsekanovskii, Operator R-functions and Their Realization by Conservative Systems; Dokl.Akad. Nauk SSSR, #321, vol. 3, 1992.

  26. S.V.Belyi, On Some Properties of Transfer mappings of Conservative Systems; Proc. of II Summer School on Spectral and Evolutionary Problems, Simferopol, 1991, (In Russian).

  27. S.V. Belyi , E.R. Tsekanovskii, Direct and Inverse Problems for Operator R-functions in the Theory of the Conservative of Passage and Scattering, Proc. of XV USSR School on Operator Theory in Functional Spaces, Ulianovsk, 1990, (in Russian).

  28. S.V. Belyi, Operator R-functions and Their Realization by Conservative Systems (Summary); XXVII Research Student Conference of USSR, Novosibirsk, 1989, (in Russian).

 


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