Функциональная модель и двойственность спектральных компонент для операторов с непрерывным спектром на кривой
А. С. Тихонов

Эта публикация цитируется в следующих статьяx:

1. Putinar M. Yakubovich D., “Spectral Dissection of Finite Rank Perturbations of Normal Operators”, J. Operat. Theor., 85:1 (2021), 45–78      
2. Dritschel M.A., Estevez D., Yakubovich D., “Resolvent Criteria For Similarity to a Normal Operator With Spectrum on a Curve”, J. Math. Anal. Appl., 463:1 (2018), 345–364          
3. Romanov R., “Estimates of Solutions of Linear Neutron Transport Equation At Large Time and Spectral Singularities”, Kinet Relat Models, 5:1 (2012), 113–128            
4. Tikhonov A., “Inner-Outer Factorization for Weighted Schur Class Functions and Corresponding Invariant Subspaces”, Spectral Theory and Analysis, Operator Theory Advances and Applications, 214, eds. Janas J., Kurasov P., Laptev A., Naboko S., Stolz G., Birkhauser Verlag Ag, 2011, 125–134    
5. Romanov R., “On the Concept of Absolutely Continuous Subspace for Nonselfadjoint Operators”, Journal of Operator Theory, 63:2 (2010), 375–388      
6. Tikhonov A., “Inverse Problem for Conservative Curved Systems”, Modern Analysis and Applications: Mark Krein Centenary Conference. Vol. 1: Operator Theory and Related Topics, Operator Theory Advances and Applications, 190, 2009, 471–490      
7. Yakubovich, DV, “Nagy-Foias type functional models of nondissipative operators in parabolic domains”, Journal of Operator Theory, 60:1 (2008), 3      
8. Ryzhov, V, “Functional model of a closed non-selfadjoint operator”, Integral Equations and Operator Theory, 60:4 (2008), 539          
9. Tikhonov A., “On connection between factorizations of weighted schur functions and invariant subspaces”, Operator Theory, Analysis and Mathematical Physics, Operator Theory : Advances and Applications, 174, 2007, 205–246        
10. А. С. Тихонов, “Весовые классы Шура и функциональная модель”, Фундамент. и прикл. матем., 12:5 (2006), 221–236      ; A. S. Tikhonov, “Weighted Schur class functions and functional model”, J. Math. Sci., 150:6 (2008), 2609–2619  
11. Tikhonov A., “Transfer functions for “curved” conservative systems”, Recent Advances in Operator Theory, Opeator Algebras, and their Applications, Operator Theory : Advances and Applications, 153, 2005, 255–264        
12. Tikhonov A., “Free functional model related to simply-connected domains”, Spectral Methods for Operators of Mathematical Physics, Operator Theory : Advances and Applications, 154, 2004, 219–231      
13. Д. В. Якубович, “Линейно-подобная модель Секефальви-Надя–Фояша в области”, Алгебра и анализ, 15:2 (2003), 190–237      ; D. V. Yakubovich, “Linear-similar Sz.-Nagy–Foias model in a domain”, St. Petersburg Math. J., 15:2 (2004), 289–321