Proves a generalised eigenvector expansion for infinite Toeplitz matrices with completely monotone entries, giving real eigenvalues and eigenvectors even when the matrix is not normal.
Sobolev, Dmitri Yafaev, On spectral analysis of self-adjoint Toeplitz operators
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Generalised eigenvector expansion of infinite Toeplitz matrices with absolutely/completely monotone entries
Proves a generalised eigenvector expansion for infinite Toeplitz matrices with completely monotone entries, giving real eigenvalues and eigenvectors even when the matrix is not normal.