Toeplitz Operators on Locally Compact Abelian Groups

Author

David Gaebler, Harvey Mudd College

Graduation Year

2004

Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Science

Department

Mathematics

Reader 1

Henry Krieger

Reader 2

Michael Raugh

Abstract

Given a function (more generally, a measure) on a locally compact Abelian group, one can define the Toeplitz operators as certain integral transforms of functions on the dual group, where the kernel is the Fourier transform of the original function or measure. In the case of the unit circle, this corresponds to forming a matrix out of the Fourier coefficients in a particular way. We will study the asymptotic eigenvalue distributions of these Toeplitz operators.

Recommended Citation

Gaebler, David, "Toeplitz Operators on Locally Compact Abelian Groups" (2004). HMC Senior Theses. 163.
https://scholarship.claremont.edu/hmc_theses/163