1995/10/08 by Feruenc Pinteŕ, Pinteŕ, Feruenc, Paul G. Nevai +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA
paper · pdf · doi:10.48550/arxiv.math/9510212
arxiv created 1995/10/08 · arxiv updated 2009/11/30
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.