 04176 Andrej Zlatos
 Sum Rules for Jacobi Matrices and Divergent LiebThirring Sums
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Jun 3, 04

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Abstract. Extending earlier work of KillipSimon and SimonZlatos, we obtain sum rules for Jacobi matrices in which the a.c. part of the spectral measure and the eigenvalues of the matrix appear on opposite sides of the equation. We use these to obtain various results on divergence of certain LiebThirring sums of eigenvalues and Szegotype integrals of the a.c. part of the spectral measure.
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