Reducibility of function pairs in 𝐻^{∞}_{ℝ}

Mortini, Raymond

doi:10.1090/S1061-0022-2012-01227-6

Reducibility of function pairs in $H^\infty _{\mathbb R}$
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by Raymond Mortini

St. Petersburg Math. J. 23 (2012), 1013-1022

DOI: https://doi.org/10.1090/S1061-0022-2012-01227-6

Published electronically: September 17, 2012

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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.

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