SPECTRAL PROPERTIES OF GENERALIZED INNER FUNCTIONS VIA BUNDLE SHIFTS

摘要

I call S a subnormal operator of Hardy type w.r. to Ω-a plane domain, if : S is pure. σ(S) (∪) -Ω and σ(N) (∪) (6)Ω for some normal extension N of S. This condition, necessary for S to be modelled (up to unitary equivalence) as a boundle shift T_e over Ω, is also sufficient, under some regularity of Ω.