Logo image
The spectral picture of reinhardt measures
Journal article   Open access   Peer reviewed

The spectral picture of reinhardt measures

Raúl E Curto and Keren Yan
Journal of Functional Analysis, Vol.131(2), pp.279-301
1995
DOI: 10.1006/jfan.1995.1090
url
https://doi.org/10.1006/jfan.1995.1090View
Published (Version of record) Open Access

Abstract

Using a combination of techniques from the theory of groupoids, the theory of several complex variables, and single and multivariable operator theory, we 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 (μ) := C [ z 1 , z 2 ] − L 2 (μ) , for μ an arbitrary Reinhardt measure on C 2 .

Details

Metrics

Logo image