Scientific and pedagogical staff

Дубовий Володимир Кирилович

Doctor of Physical and Mathematical Sciences, Specialty 01.01.01. Mathematical Analysis, Professor, Professor of the Department of Fundamental Mathematics

Education

  • Bachelor's degree, Kharkiv State University, 1963 – 1968.
  • Postgraduate studies: Kharkiv State University, 1968 – 1971. Candidate of Physical and Mathematical Sciences, dissertation «Operator nodes invariant with respect to the Lorentz group” 1972. Scientific supervisor Prof. M.S. Livshits.
  • Doctor of Physical and Mathematical Sciences, dissertation «Unilateral shifts generated by contractions and their application to analysis problems». 2004. 

Professional work experience

  • Assistant, senior lecturer at the Department of Mathematical Physics 1971-1974.
  • Assistant Dean, Acting Dean of the Faculty of Mechanics and Mathematics, 1974-1978
  • Head of the Department of Higher Mathematics (Faculty of Physics), 1978-1988.
  • Associate Professor, Professor at the Department of Mathematical Analysis, 1974-1978, 1988-2016.
  • Professor at the Department of Fundamental Mathematics since 2016.
  • Matrix interpolation problems of analysis
  • Schur interpolation problem
  • Contraction operators in Hilbert space and their applications
  • Open systems
  • Scattering by internal channels of an open system
  • The problem of pseudo-continuation of Schur class functions

Courses over the last 5 years:

  • Математичний аналіз
  • Measure theory and Lebesgue integral
  • Harmonic analysis
  • Operator theory in Hilbert space

Scientific supervisor of 4 PhD theses.

  • Max Planck Institute Scholarship, Leipzig, Germany, 2022-2023.
  • Volkswagen Foundation Grant, International Research Project „From Modeling and Analysis to Approximation“ University of Lübeck, Humboldt University of Berlin, Germany 2023.
  • Editor of the volume “The Characteristic Operator Function and Related Topics”.- A Tribute To Moshe Livsic, Birkhauser (together with D. Alpay (USA) and B. Kirstein, C. Maedler (Germany)), 2022-2026 (submitted for publication)
  • Editor of the volume dedicated to the memory of Viktor Katsnelson (together with D. Alpay (USA) and B. Kirstein (Germany)), 2026.

Author of 60 scientific publications.

Books and chapters in books:

  1. V. K. Dubovoy, B. Fritzsche and B.Kirstein: Matricial Version of the Classical Schur Problem, B.G.Teubner, Leipzig, Germany, 1992, 355 p. ISBN 3815420156, 9783815420157
  2. Chapters IX-X in the book M. S. Livshits, A. A. Yantsevich. Theory of Operator Nodes in Hilbert Spaces. Kharkiv, State University, 1971, [English translation: Amer.Math.Soc., Washington DC, 1979].

Scientific articles over the last 5 years:

    1. Dubovoy, V.K., Fritzsche, B., Kirstein, B., Maedler, C.: Orthogonal Matrix Polynomials Connected with The Schur Problem.- Complex Anal. Oper. Theory, 19, Paper No. 100, pp. 3-57 (2025) https://doi.org/10.1007/s11785-025-01691-w
    2. Dubovoy, V.K., Fritzsche, B., Kirstein, B., Maedler, C., Mueller, K.: The Schur–Potapov Algorithm in the General Matrix Case and Its Application to the Matricial Schur Problem. Complex Anal. Oper. Theory, 18(5):Paper No. 109, pp 2-91 (2024) https://doi.org/10.1007/s11785-024-01545-x
    3. K, Mueller, F.Thiel, B. Taskin, F.Beutner, A.Teren, V.K.Dubovoy, H.M?ller, AVillringer, M.Schroeter: “Brain Dysconnectivity with heart failure. “Brain Communications,” Vol. 5,Issue2, 2023. https://doi.org/10.1093/braincomms/fcad103
    4. M.L Schroeter, J.Godulla, F.Thiel, B.Taskin, F.Beutner, V.K.Dubovoy, A.Teren , J.Camilleri, S.Eickhoff, AVillringer, K,Mueller: Heart failure decouples the precuneus in interaction with social cognition and executive functions, “Scientific Reports”. Article number: 1236. 2023. https://www.nature.com/articles/s41598-023-28338-0

 

Участь у наукових конференціях за останні 5 років:

  1. Dubovoy V. K.: Сharacteristic function of M.S.Livshic and triangular models of bounded linear operators. “From Modeling and Analysis to Approximation and Fast Algorithms”, Hasenwinkel, Germany, 2023, September 2-6.

Over the last 5 years:

  • Visit to the University of Lübeck, 2022
  • Visit to the Max Planck Institute, Leipzig, Germany, 2022-2023
  • Стажування у Берлінському університеті Гумбольдтів, Німеччина. 2023р.