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

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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Bibliographic Details
Published in:Resultate der Mathematik 2020-03, Vol.75 (1), Article 37
Main Authors: Hu, Yi-Teng, Huang, Zhen-You, Yang, Chuan-Fu
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-020-1165-x