3 papers
math.FA2026
Nonexistence of Approximately Dual Frames via Weighted Composition Operators
Trevor Camper, Dongwei Chen, Shuang Guan
Reconstruction from the coefficients of a frame often requires a dual frame, and the canonical dual is obtained by inverting the frame operator, which is rarely available in a clos…
math.FA2024
A Szegő Limit Theorem for Radially-Compressed Toeplitz Operators
Trevor Camper
We obtain Szegő-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…
math.FA2024
A Semi-Classical Szegő-type Limit Theorem for Toeplitz Operators
Trevor Camper, Mishko Mitkovski
We establish an abstract Szegő-type limit theorem for Toeplitz operators associated with normalized continuous Parseval frames. Our assumptions consist essentially of a natural nor…