A Density Theorem on the Eigenvalues of Spherically Symmetric Interior Transmission Problem in Absorbing Medium

Details A Density Theorem on the Eigenvalues of Spherically Symmetric Interior Transmission Problem in Absorbing Medium A Density Theorem on the Eigenvalues of Spherically Symmetric Interior Transmission Problem in Absorbing Medium

2012-04-26

arxiv.org/abs/1204.5856v1

Mathematics

Functional Analysis

Scientific paper

We describe the asymptotic distribution of the eigenvalues of interior transmission problem in absorbing medium. We apply the Cartwright's theory and the technique from asymptotic periodic entire function theory. The Cauchy integral of an asymptotic periodic function can be specified quite precisely along the real axis. In that case, we find a Weyl's type of density theorem on counting the eigenvalues for spherically symmetric interior transmission problem in absorbing medium.

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