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New Trace Formulae for Sturm–Liouville Operators on the Lasso-Graph

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Abstract

The Sturm–Liouville operators on the lasso graph are considered. We obtain new regularized trace formulae for this class of differential operators, which are very useful to further study the inverse spectral problems of this kind of operators.

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Acknowledgements

The authors would like to thank the referees for valuable comments. This work was supported in part by the National Natural Science Foundation of China (11871031).

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

    Sheng-Yu Guan & Chuan-Fu Yang

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  1. Sheng-Yu Guan
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  2. Chuan-Fu Yang
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Correspondence to Chuan-Fu Yang.

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Guan, SY., Yang, CF. New Trace Formulae for Sturm–Liouville Operators on the Lasso-Graph. Results Math 75, 92 (2020). https://doi.org/10.1007/s00025-020-01212-5

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