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Traces for Sturm–Liouville Operators with Frozen Argument on Star Graphs

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Abstract

In this paper, Sturm-Liouville operators with frozen argument on star graphs are studied. First, we derive the asymptotic expression for the large eigenvalues. Second, the regularized trace formulae for these operators are calculated with the method of complex analysis.

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Acknowledgements

The authors would like to thank the referees for valuable comments. The research work was supported in part by the National Natural Science Foundation of China (11871031). The author Hu was supported by Innovation Program for Graduate Students of Jiangsu Province of China (KYCX17_0322).

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  1. Department of Applied Mathematics, School of Science, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, China

    Yi-Teng Hu, Zhen-You Huang & Chuan-Fu Yang

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  1. Yi-Teng Hu
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  2. Zhen-You Huang
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  3. Chuan-Fu Yang
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Correspondence to Chuan-Fu Yang.

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Hu, YT., Huang, ZY. & Yang, CF. Traces for Sturm–Liouville Operators with Frozen Argument on Star Graphs. Results Math 75, 37 (2020). https://doi.org/10.1007/s00025-020-1165-x

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