Abstract
The main goal of the paper is to study the properties of the Schur parameters of the noninner functions of the Schur class S which admit a pseudocontinuation. To realize this aim we construct a model of completely nonunitary contraction in terms of Schur parameters of its characteristic function (see Chapters 2 and 3). By means of the constructed model a quantitative criterion of pseudocontinuability is established (see Chapter 4 and Sections 5.1 and 5.2). The properties of the Schur parameter sequences of pseudocontinuable noninner Schur functions are studied (see Sections 5.3 and 5.4).
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Dubovoy, V.K. (2006). Shift Operators Contained in Contractions, Schur Parameters and Pseudocontinuable Schur Functions. In: Alpay, D., Gohberg, I. (eds) Interpolation, Schur Functions and Moment Problems. Operator Theory: Advances and Applications, vol 165. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7547-7_5
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