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- W3209831869 abstract "Let Bn denote the unit ball of Cn, n≥1, and let D denote a finite product of Bnj, j≥1. Given a non-constant holomorphic function b:D→B1, we study the corresponding family σα[b], α∈∂B1, of Clark measures on the distinguished boundary ∂D. We construct a natural unitary operator from the de Branges–Rovnyak space H(b) onto the Hardy space H2(σα). As an application, for D=Bn and an inner function I:Bn→B1, we show that the property σ1[I]≪σ1[b] is directly related to the membership of an appropriate explicit function in H(b)." @default.
- W3209831869 created "2021-11-08" @default.
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- W3209831869 date "2021-11-03" @default.
- W3209831869 modified "2023-10-16" @default.
- W3209831869 title "Clark measures and de Branges–Rovnyak spaces in several variables" @default.
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- W3209831869 doi "https://doi.org/10.1080/17476933.2021.1985480" @default.
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