TOEPLITZ OPERATORS ON HEISENBERG GROUP |
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Authors: | Peizhu XIE Guangfu CAO |
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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 |
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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 (?Ω). In addition, the characteristic equation of analytic Toeplitz operators is obtained. |
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Keywords: | Toeplitz operator Hardy space Fredholm theory |
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