Raymond Mortini, “Reducibility of function pairs in <nobr>$H^\infty_\mathbb R$</nobr>”, Algebra i Analiz, 2011, Volume 23, Issue 6,Pages <nobr>131

This article is cited in 2 papers

Research Papers

Reducibility of function pairs in $H^\infty_\mathbb R$

Raymond Mortini

Département de Mathématiques, LMAM, UMR 7122, Université Paul Verlaine, Metz, France

Abstract: A short proof of a result by Brett Wick on the reducibility of function pairs in $H^\infty_\mathbb R$ is presented and some unusual properties of the solutions to the associated Bézout equations are unveiled.

Keywords: corona theorem, Bézout equation, Blaschke product.

Received: 28.06.2010

Language: English