The correct results reduce to the classical Dirichlet sine basis on an interval, while the claimed spectral rigidity theorem is false as stated.
and Simon, B.,Methods of Modern Mathemat- ical Physics, Volume IV: Analysis of Operators, Aca- demic Press (1978)
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Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator
The correct results reduce to the classical Dirichlet sine basis on an interval, while the claimed spectral rigidity theorem is false as stated.