Spectral asymptotics and regularized traces for Dirac operators on a star-shaped graph |
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| Authors: | Chuan-Fu Yang Zhen-You Huang |
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| Affiliation: | 1. Department of Applied Mathematics , Nanjing University of Science and Technology , Nanjing 210094 , Jiangsu , P.R. China chuanfuyang@tom.com;3. Department of Applied Mathematics , Nanjing University of Science and Technology , Nanjing 210094 , Jiangsu , P.R. China |
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| Abstract: | In this article, we consider the spectral problems for Dirac operators on a star-shaped graph. First, we derive the asymptotic expressions of the eigenvalues and then explicitly establish the regularized trace formulae for the operators in terms of the coefficients of the operators. |
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| Keywords: | Dirac operator star-shaped graph trace formula |
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