Selected scientific talks

Videos

1. High-energy behaviour of Weyl coefficients. [video]).
   Lecture given at the conference "Mini-course and Workshop on de Branges-Rovnyak Spaces", October 7, 2021, Fields Institute for Research in Mathematical Sciences, Toronto, Canada.


2. High-energy behavior of the Weyl coefficient of a canonical system. [video]).
   Seminar talk at the Chebyshev Laboratory, January 23, 2020, St.Petersburg, Russia.

Slides

1. Homogeneous de Branges spaces. [pdf]
   Lecture given at the conference "29th International Conference in Operator Theory", July 1-5, 2024, West University of Timisoara Timisoara, Romania.


2. Universality limits for power bounded measures. [pdf] (version for [printout]).
   Lecture given at the conference "Shapes and shades of Analysis: in depth and beyond", April 29-May 3, 2024, CIRM Marseille, France.


3. Jacobi operators with discrete spectrum and growth of the Nevanlinna matrix. [pdf]
   Lecture given at the conference "The seventh Najman conference on spectral theory and differential equations", September 18-23, 2023, Brijuni National Park, Croatia.


4. Indefinite Hamiltonian systems whose Weyl coeffcient has no finite generalized poles of non-positive type. [pdf]
   Lecture given at the conference "Challenges in spectral theory of differential operators", December 19-22, 2022, TU Graz, Austria.


5. Spectral theory of canonical systems: discreteness of spectrum and density of eigenvalues. [pdf]
   Lecture given at the conference "Complex Analysis, Spectral Theory and Approximation meet in Linz", July 3-8, 2022, Johannes Kepler University Linz, Austria.


6. Directing functionals and de Branges space completions in almost Pontryagin spaces. [pdf]
   Lecture given at the conference "The fifth Najman conference on spectral theory and differential equations", September 10-15, 2017, Opatija, Croatia.


7. Stability of order and type of a measure. [pdf]
   Lecture given at the conference "Hilbert spaces of entire functions and their applications", May 22-26, 2017, at the Polish Mathematical Conference Center, Bedlewo, Poland.


8. Order and Type of Canonical Systems. A Survey. [pdf]
   Lecture given at the conference "Operator Theory, Analysis and Mathematical Physics", August 2-7, 2016, at the Euler International Mathematical Institute, St.Petersburg, Russia.


9. Stability of the derivative of a canonical product. [pdf]
   Lecture given at the conference "23rd St.Petersburg Summer Meeting in Mathematical Analysis", June 25-30, 2014, The Euler International Mathematical Institute, St.Petersburg, Russia.


10. Reproducing kernel almost Pontryagin spaces. [pdf]
    Lecture given at the conference "Noncommutative Analysis Operator Theory and Applications", June 23-27, 2014, Politecnico di Milano, Milano, Italy.


11. Spectral theory of a class of canonical systems with two singular endpoints. [pdf]
    Lecture given at the meeting "Komplexe Analysis und/et Theorie Spectrale", May 12-13, 2014, Johannes Kepler University, Linz, Austria, and at a seminar of the University of Vienna, October 30, 2014.


12. Direct and Inverse Spectral Problems for 2-dimensional Hamiltonian Systems. [pdf] (version for [printout]).
    Seminar talk at the Dublin Institute of Technology, April 18, 2013, Dublin, Ireland.


13. Indefinite de Branges' theory and differential operators with singular coefficients. [pdf]
    Lecture given at the meeting "Short Courses and Workshop on Hilbert Spaces of Entire Functions and Spectral Theory of Self-adjoint Differential Operators", May 30-June 4, 2011, Centre de Recerca Matematica, Bellaterra, Spain.


14. Indefinite Canonical Sytems. Theory and Examples. [pdf]
    Lecture given at the "International Workshop on Operator Theory and its Applications (IWOTA)", July 3-6, 2007, Potchefstroom, South Africa.