AN INVERSE SPECTRAL THEOREM

被引：13

作者：

Davies, E. B. ^{[1
]}

机构：

[1] Kings Coll London, Dept Math, London SE21 7BS, England

来源：

JOURNAL OF OPERATOR THEORY | 2013年 / 69卷 / 01期

关键词：

Inverse problems; Ambarzumyan; heat kernel; heat trace asymptotics; quantum graph; BOUNDARY;

D O I：

10.7900/jot.2010sep14.1881

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a substantial extension of an inverse spectral theorem of Ambarzumyan, and show that it can be applied to arbitrary compact Riemannian manifolds, compact quantum graphs and finite combinatorial graphs, subject to the imposition of Neumann (or Kirchhoff) boundary conditions.

引用

页码：195 / 208

页数：14

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