Regular Factorization of the Scalar Characteristic Function

1. J. Garnett, Bounded Analytic Functions [Russian translation], Moscow (1966).

2. V. V. Kapustin, “Reflexivity of operators: General methods and a criterion for almost isometric contractions,” Algebra Analiz, 4, 141–160 (1992).

   Google Scholar 

3. S. Kupin, “An informal report on ‘rectangular’ factorizations, the scalar case,” Université Bordeaux 1 (1998).

4. N. Nikolskii, Treatise on the Shift Operator [in Russian], Moscow (1980).

5. N. Nikolskii and S. V. Khrushchev, “A function model and some problems in spectral function theory,” Tr. Mat. Inst. Akad. Nauk SSSR, 176, 97–210 (1987).

   Google Scholar 

6. N. Nikolskii and V. Vasyunin, “Elements of spectral theory in terms of the free function model, Part I: Basic Constructions,” in: Holomorphic Spaces (S. Axler, J. E. McCarthy, and D. Sarason, eds.), Mathematical Sciences Research Institute Publications, Cambridge University Press, 33, 211–302 (1998).

7. N. K. Nikolskii and V. I. Vasyunin, “Unified approach to function models and the transcription problem,” Preprint LOMI E–5–86, Leningrad (1986).

8. V. V. Peller, “An excursion into the theory of Hankel operators,” in: Holomorphic Spaces (S. Axler, J. E. Mc–Carthy, and D. Sarason, eds.), Mathematical Sciences Research Institute Publications, Cambridge University Press, 33, 65–120 (1998).

9. B. Sz.–Nagy and C. Foias, Harmonic Analysis of Operators on Hilbert Space, North–Holland Akad. Kiadó (1970).

Download references