Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (6): 1589-1597.doi: 10.1016/S0252-9602(13)60107-1

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TOEPLITZ OPERATORS ON HEISENBERG GROUP

 XIE Pei-Zhu, CAO Guang-Fu   

  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China;
    Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, China
  • Received:2012-06-02 Revised:2013-01-07 Online:2013-11-20 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).

Abstract:

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

CLC Number: 

  • 47B35
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