A Szego Limit Theorem for Radially-Compressed Toeplitz Operators
Abstract
We obtain Szego-type Limit Theorems in the setting of Reproducing Kernel Hilbert Spaces on discs in C. From this, we derive a formula for the density of the eigenvalues of compressions of Toeplitz operators. Examples for the Bergman and Segal-Bargmann-Fock space are also presented.
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