2024/11/30 by Trevor Camper, Camper, Trevor
Mathematics · #Holomorphic and Operator Theory #Advanced Harmonic Analysis Research #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2412.00612
We obtain Szegő-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.