The spectral picture of Reinhardt measures
Using a combination of techniques from the theory of groupoids, the theory of several complex variables, and single and multivariable operator theory, the authors describe in detail the spectral picture of the commuting pair \((M_{z_1}, M_{z_2})\) of multiplication operators by the coordinate functions \(z_1\) and \(z_2\), acting on the Hilbert space \(P^2(\mu):= \mathbb{C}[z_1, z_2]^{-L^2(\mu)}\), for \(\mu\) an arbitrary Reinhardt measure on \(\mathbb{C}^2\).
scientific article; zbMATH DE number 790365