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Generalized interpolation in a multiply connected region. (English) Zbl 0855.47005

Summary: We extend to the case of multiply connected regions the famous result of Sarason concerning the characterization of operators commuting with the compression of the unilateral shift on \(H^2\) to a coinvariant subspace.

MSC:

47A45 Canonical models for contractions and nonselfadjoint linear operators
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
30D55 \(H^p\)-classes (MSC2000)
30E05 Moment problems and interpolation problems in the complex plane
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References:

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