On some representation formulas involving moduli of Blaschke products

Alan Gluchoff; Pamela Gorkin; Raymond Mortini

doi:10.1524/anly.2007.27.2-3.261

Published by Oldenbourg Wissenschaftsverlag September 25, 2009

On some representation formulas involving moduli of Blaschke products

Alan Gluchoff , Pamela Gorkin and Raymond Mortini

From the journal Analysis

https://doi.org/10.1524/anly.2007.27.2-3.261

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Starting from an integral formula in harmonic analysis, we derive some representation formulas for (1–|B(z)|²)/(1–|z|²) in terms of the zeros of the underlying interpolating Blaschke product B. We use our formula to show that for every interpolating Blaschke product B there exists another interpolating Blaschke product C, with zeros distinct from those of B, such that C is orthogonal to B in H².

Keywords: Interpolating Blaschke products; orthogonality; combinatorial identity

Received: 2006-8-3

Published Online: 2009-9-25

Published in Print: 2007-10-1

On some representation formulas involving moduli of Blaschke products

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