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Singular Values of Weighted Composition Operators and Second Quantization

Singular Values of Weighted Composition Operators and Second Quantization

We study a semigroup of weighted composition operators on the Hardy space of the disk |$H^2({\mathbb{D}})$|⁠, and more generally on the Hardy space |$H^2(U)$| attached to a simply connected domain |$U$| with smooth boundary. Motivated by conformal field theory, we establish bounds on the singular values (approximation numbers) of these …