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Zbl 0826.47002
Curto, Raúl E.; Yan, Keren
The spectral picture of Reinhardt measures. (English)
[J] J. Funct. Anal. 131, No.2, 279-301 (1995). ISSN 0022-1236

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 $P^2(\mu):= \bbfC[z_1, z_2]^{-L^2(\mu)}$, for $\mu$ an arbitrary Reinhardt measure on $\bbfC^2$.

MSC 2000:: *47A13 Several-variable spectral theory

Keywords: spectral picture; commuting pair; multiplication operators; Reinhardt measure

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