Shift operators contained in contractions, pseudocontinuable Schur functions and orthogonal systems on the unit circle

Author:

Dubovoy Vladimir K.,Fritzsche Bernd,Kirstein Bernd,Lasarow Andreas

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Reference24 articles.

1. Arov D.Z.: Darlington realization of matrix-valued functions (in Russian). Izv. Akad. Nauk SSSR Ser. Math. 37, 1299–1331 (1973) [English translation in Math USSR Izv. 7, 1295–1326 (1973)]

2. Arov D.Z.: Regular J-inner matrix functions and related continuation problems. In: Arsene, G., Helson, H., Sz.-Nagy, B., Vasilescu, F.-H. (eds) Linear Operators in Function Spaces. Operator Theory: Advances and Applications, vol. 43, pp. 65–87. Birkhäuser, Basel (1990)

3. Boiko S.S., Dubovoy V.K., Fritzsche B., Kirstein B.: Shift operators contained in contractions and pseudocontinuable matrix-valued Schur functions. Math. Nachr. 278, 784–807 (2005)

4. Brodskii M.S.: Unitary operator colligations and their characteristic functions(in Russian). Uspekhi Mat. Nauk 33(4), 141–168 (1978) [English translation in Russ. Math. Surv. 33(4), 159–191 (1978)]

5. Cima, J.A., Ross, W.T.: The backward shift on the Hardy space. In: Mathematical Surveys and Monographs, vol. 79. American Mathematical Society, Providence (2000)

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