Schur functions and orthogonal polynomials on the unit circle

Details Schur functions and orthogonal polynomials on the unit circle Schur functions and orthogonal polynomials on the unit circle

1995-10-08

arxiv.org/abs/math/9510212v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We apply a theorem of Geronimus to derive some new formulas connecting Schur
functions with orthogonal polynomials on the unit circle. The applications
include the description of the associated measures and a short proof of Boyd's
result about Schur functions. We also give a simple proof for the above
mentioned theorem of Geronimus.

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