A SzegÅ Limit Theorem for Radially-Compressed Toeplitz Operators
arXiv:2412.00612
Abstract
We obtain SzegÅ-type Limit Theorems in the setting of Reproducing Kernel Hilbert Spaces on discs in . 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.
8 pages