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On the continuity of the Wiener-Hopf factorization operation
Published online by Cambridge University Press: 17 February 2009
Abstract
The problem of passing from an L∞ function to a Wiener-Hopf factorization is considered. It is shown that a small L∞ perturbation which does not change the factorization indices will lead to small Lp (1 < p < ∞) perturbations in the Wiener-Hopf factors, but can lead to large L∞ perturbations, unless the derivatives are controlled during the perturbation.
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- Copyright © Australian Mathematical Society 1987
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