On the existence of eigenvalues of Toeplitz operators on planar regions
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- by Cyrus P. Aryana and Kevin F. Clancey PDF
- Proc. Amer. Math. Soc. 132 (2004), 3007-3018 Request permission
Abstract:
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 $\mathbb {R}^{g}$ in $\mathbb {C}^{g}$.References
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Additional Information
- Cyrus P. Aryana
- Affiliation: Department of Mathematical Sciences, Saginaw Valley State University, University Center, Michigan 48710
- Email: aryana@svsu.edu
- Kevin F. Clancey
- Affiliation: Department of Mathematics, University of Louisville, Louisville, Kentucky 40292
- Email: k.clancey@louisville.edu
- Received by editor(s): June 5, 2002
- Received by editor(s) in revised form: March 7, 2003
- Published electronically: June 2, 2004
- Communicated by: Joseph A. Ball
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3007-3018
- MSC (2000): Primary 47B35
- DOI: https://doi.org/10.1090/S0002-9939-04-07273-9
- MathSciNet review: 2063122