Acta mathematica scientia, Series B >
TOEPLITZ OPERATORS ON HEISENBERG GROUP
Received date: 2012-06-02
Revised date: 2013-01-07
Online published: 2013-11-20
Supported by
This research was Supported by National Natural Science Foundation of China (11271092), Natural Science Foundation of Guangdong Province (s2011010005367), Spe-cialized Research Fund for the Doctoral Program of Higher Education (20114410110001, 20124410120002) and SRF of Guangzhou Education Bureau (2012A088).
Denote by the Siegel domain in Cn, 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.
Key words： Toeplitz operator; Hardy space; Fredholm theory
XIE Pei-Zhu , CAO Guang-Fu . TOEPLITZ OPERATORS ON HEISENBERG GROUP[J]. Acta mathematica scientia, Series B, 2013 , 33(6) : 1589 -1597 . DOI: 10.1016/S0252-9602(13)60107-1
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