Operator Theory: Advances and Applications
 2023
DOI: 10.1007/978-3-662-67872-5_8
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The Trace Formula

Pavel Kurasov

Abstract: This chapter is devoted to the trace formula connecting the spectrum of a finite compact metric graph with the set of closed paths on it. In other words this formula establishes a relation between spectral and geometric/topologic properties of metric graphs.

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