Extends Clark theory to bidisk model spaces K_φ, constructs commuting Clark unitaries equivalent to multiplication operators on L²(σ_α), and proves their Taylor joint spectrum equals level sets of φ for rational inner φ.
Rudin,Function theory in polydiscs, W.A
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Pairs of Clark Unitary Operators on the Bidisk and their Taylor Joint Spectra
Extends Clark theory to bidisk model spaces K_φ, constructs commuting Clark unitaries equivalent to multiplication operators on L²(σ_α), and proves their Taylor joint spectrum equals level sets of φ for rational inner φ.