The spectral picture of Reinhardt measures
type: Item
instance of: scholarly article
title: The spectral picture of Reinhardt measures
zbMATH Open document ID: 0826.47002
author: Keren Yan
author: Raúl E. Curto
published in: Journal of Functional Analysis
publication date: 1995-11-01T00:00:00Z
review text: 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 \(\mathbb{C}^2\).
Mathematics Subject Classification ID: 47A13
zbMATH DE Number: 790365
zbMATH Keywords: spectral picture
zbMATH Keywords: commuting pair
zbMATH Keywords: multiplication operators
zbMATH Keywords: Reinhardt measure
MaRDI profile type: Publication
full work available at URL: jfan.1995.1090
OpenAlex ID: W2090432132
DOI: 10.1006/JFAN.1995.1090
description: scientific article; zbMATH DE number 790365