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TOEPLITZ OPERATORS ON HEISENBERG GROUP
Authors:Peizhu XIE  Guangfu CAO
Institution:[1]School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China [2]Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, China
Abstract:Denote by Ω the Siegel domain in ?n, n >1. In this paper, we study the essential spectra of Toeplitz operators defined on the Hardy space H2 (). In addition, the characteristic equation of analytic Toeplitz operators is obtained.
Keywords:Toeplitz operator  Hardy space  Fredholm theory
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