On the existence of eigenvalues of Toeplitz operators on planar regions

Cyrus P. Aryana, Kevin F. Clancey
2004 Proceedings of the American Mathematical Society  
A study is made of the eigenvalues of self-adjoint Toeplitz operators on multiply connected planar regions having g holes. The presence of eigenvalues is detected through an analysis of the zeros of translations of theta functions restricted to R g in C g .
doi:10.1090/s0002-9939-04-07273-9 fatcat:cbfum76ks5d6xnga4ldvlvsz4y