Inverse spectral problem for analytic $Z-2Z^n$-symmetric domains in $R^n$ - Mathematics > Analysis of PDEsReport as inadecuate




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Abstract: In this paper we show that bounded analytic domains in $\R^n$ with mirrorsymmetries across all coordinate axes are spectrally determined among othersuch domains. Our approach builds on finding concrete formulas for the waveinvariants at a bouncing ball orbit. The wave invariants are calculated from astationary phase expansion applied to a well-constructed microlocal parametrixfor the trace of the resolvent.



Author: Hamid Hezari, Steve Zelditch

Source: https://arxiv.org/







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