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, Realization of inverse Stieltjes functions (-ma(z)) by Schrodinger L-systems, (in preparation).

  2. S.V. Belyi, K.A. Makarov, E.R. Tsekanovskii, On the c-entropy of L-systems with Schrodinger operator, (to appear). ArXiv https://arxiv.org/abs/2108.06567

  3. S.V. Belyi, E.R. Tsekanovskii, The original Weyl-Titchmarsh functions and sectorial Schrodinger L-systems, Contributions to Mathematics and Statistics, Acta Wasaensia, vol. 462, (2021), pp. 37-54. ArXiv https://arxiv.org/abs/2012.08069
  4. S.V. Belyi, E.R. Tsekanovskii, On realization of the original Weyl-Titchmarsh function by L-systems with Schrodinger operator, Complex Analysis and Operator Theory, vol. 15 (1), 11 (2021). ArXiv https://arxiv.org/abs/2006.13045

  5. S.V. Belyi, E.R. Tsekanovskii, On von Neumann's parameter of extremal Schrodinger operator, Bulletin of Donetsk National University, Series A: Natural Sciences, vol. 2, (2019), pp. 91-97.

  6. S.V. Belyi, E.R. Tsekanovskii, Perturbations of Donoghue classes and inverse problems for L-systems, Complex Analysis and Operator Theory, vol. 13 (3), (2019), pp. 1227-1311. ArXiv https://arxiv.org/abs/1806.06329

  7. S.V. Belyi, E.R. Tsekanovskii, On Sectorial L-systems with Schrodinger operator, P. Kuchment and E. Semenov (Editors), Differential Equations, Mathematical Physics, and Applications. Selim Grigorievich Krein Centennial, CONM, vol. 734, American Mathematical Society, Providence, RI, (2019), pp. 59-76. ArXiv https://arxiv.org/abs/1709.07370

  8. S.V. Belyi, K.A. Makarov, E.R. Tsekanovskii, On unimodular transformations of conservative L-systems, Operator Theory: Advances and Applications, vol. 263, (2018), pp. 191--215. ArXiv http://arxiv.org/abs/1608.08583

  9. 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.

  10. 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.

  11. 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.

  12. 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.

  13. 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,

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

  15. 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.

  16. 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.

  17. 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.

  18. 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).

  19. 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.

  20. 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. 

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

  22. 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.

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

  24. 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.

  25. 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.

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

  27. 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.

  28. 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.

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

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

  31. 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).

  32. 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).

  33. 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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