On the Simplicity of the Eigenvalues of the Non-self-adjoint Mathieu-Hill Operators

2013/01/06 by O. A. Veliev, Veliev, O. A.
Mathematics · #FOS: Mathematics #Spectral Theory (math.SP) #math.SP

paper · pdf · doi:10.48550/arxiv.1301.1011

arxiv created 2013/01/09 · arxiv updated 2013/01/10

Abstract

We find conditions on the potential of the non-self-adjoint Mathieu-Hill operator such that the all eigenvalues of the periodic, antiperiodic, Dirichlet and Neumann boundary value problems are simple.

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