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The boundary analog of the Carath\'eodory-Schur interpolation problem
Characterization of Schur-class functions (analytic and bounded by one in
modulus on the open unit disk) in terms of their Taylor coefficients at the
origin is due to I. Schur. We present a boundary analog of this result:
necessary and sufficient conditions are given for the existence of a
Schur-class function with the prescribed nontangential boundary expansion
at a given point
on the unit circle