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Given a set of transmission eigenvalues, we describe the connection of such aset to the indicator functions in entire function theory. The indicatorfunctions control the asymptotic growth rate of the solution of theSturm-Liouville problem which has an uniqueness in the inverse spectral theory.Henceforth, the set of transmission eigenvalues has an inverse spectralproperty.

An Uniqueness Result on Spherically Stratified Media with Interior Transmission Eigenvalues