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math-ph2004
Higher-Order Szego Theorems With Two Singular Points
Barry Simon, Andrej Zlatos
We consider probability measures, $dμ=w(θ) \f{dθ}{2π} +dμ_\s$, on the unit circle, $\partial\bbD$, with Verblunsky coefficients, . We prove for i…
math-ph2004
Sum Rules for Jacobi Matrices and Divergent Lieb-Thirring Sums
Andrej Zlatos
Extending earlier work of Killip-Simon and Simon-Zlatos, we obtain sum rules for Jacobi matrices in which the a.c. part of the spectral measure and the eigenvalues of the matrix ap…