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- W4309124241 abstract "Let $f$ be a regular non-constant symbol defined on the $d$-dimensional torus ${mathbb T}^d$ with values on the unit circle. Denote respectively by $kappa$ and $L$, its set of critical points and the associated Laurent operator on $l^2({mathbb Z}^d)$. Let $U$ be a suitable unitary local perturbation of $L$. We show that the operator $U$ has finite point spectrum and no singular continuous component away from the set $f(kappa)$. We apply these results and provide a new approach to analyze the spectral properties of GGT matrices with asymptotically constant Verblunsky coefficients. The proofs are based on positive commutator techniques. We also obtain some propagation estimates." @default.
- W4309124241 created "2022-11-23" @default.
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- W4309124241 date "2015-01-30" @default.
- W4309124241 modified "2023-09-30" @default.
- W4309124241 title "Commutation Relations for Unitary Operators II" @default.
- W4309124241 doi "https://doi.org/10.48550/arxiv.1501.07876" @default.
- W4309124241 hasPublicationYear "2015" @default.
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