Wiener—Hopf Factorizations and the Recovery Problem
Part of the Springer Monographs in Mathematics book series (SMM)
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In Chapter 7 we considered the recovery problem for unimodular functions. It is very important in applications to be able to solve the same problem for unitary-valued matrix functions. Namely, for a unitary-valued function U and a space X of functions on 𝕋 we consider in this chapter the problem of under which natural assumptions we can conclude that
$$ P\_U \in X \Rightarrow U \in X $$
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© Springer-Verlag New York, Inc. 2003