Towards a Szego Limit Theorem for Berezin-Toeplitz Operators with Singular Symbols

During the summer of 2012 I studied the spectrum of self-adjoint Toeplitz matrices under the direction of Alejandro Uribe in an REU at the University of Michigan’s Department of Mathematics. I proved the Szego Limit Theorem for a very specific type of Berezin-Toeplitz operator, and made a conjecture for more general symbols.

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