arXiv subjects

Trevor Camper

Publications and source records attributed to Trevor Camper.

2 recordsLinked to original sources

arXiv2024

A Szegő Limit Theorem for Radially-Compressed Toeplitz Operators

We obtain Szegő-type Limit Theorems in the setting of Reproducing Kernel Hilbert Spaces on discs in $\mathbb{C}$. 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.

math.FA↗

arXiv2024

A Semi-Classical Szeg\H{o}-type Limit Theorem for Toeplitz Operators

We obtain Szeg\H o-type limit theorems for Toeplitz operators on the weighted Bergman spaces $A^{2}_{\alpha}(\mathbb{B}^{n})$, and on $L^{2}(G)$, presenting separate formulations for compact and locally compact Abelian groups. Furthermore, we establish a broad class of abstract Szeg\H{o} limit theorems that unify and extend many classical results.

math.FA↗