Abstract
We construct a series of pairs of domains in the plane and pairs of surfaces with boundary that are isospectral but not isometric. The construction is based on the existence of finite transformation groups that are spectrally equivalent but not isomorphic.
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Translated fromMatematicheskie Zametki, Vol. 63, No. 5, pp. 660–664, May, 1998.
This research was partially supported by the Russian Foundation for Basic Research and by INTAS under joint grant No. 96-01-00043.
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Vorobets, Y.B., Stepin, A.M. Isospectrality and galois projective geometries. Math Notes 63, 582–585 (1998). https://doi.org/10.1007/BF02312837
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DOI: https://doi.org/10.1007/BF02312837