On the existence of eigenvalues of Toeplitz operators on planar regions-Reference-Cited by-同舟云学术

On the existence of eigenvalues of Toeplitz operators on planar regions

Published:2004-06-02 Issue:10 Volume:132 Page:3007-3018
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Aryana Cyrus,Clancey Kevin

Abstract

A study is made of the eigenvalues of self-adjoint Toeplitz operators on multiply connected planar regions having g g holes. The presence of eigenvalues is detected through an analysis of the zeros of translations of theta functions restricted to R g \mathbb {R}^{g} in C g \mathbb {C}^{g} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-10/S0002-9939-04-07273-9/S0002-9939-04-07273-9.pdf

Reference8 articles.

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2. [2] G. Akbari Estahbanati (Cyrus P. Aryana), Riemann surfaces and Toeplitz operators on multiply connected planar regions, Dissertation, University of Georgia, 1993.

3. Toeplitz operators on multiply connected domains and theta functions;Clancey, Kevin F.,1988

4. On the spectral character of Toeplitz operators on multiply connected domains;Clancey, Kevin F.;Trans. Amer. Math. Soc.,1991

5. Representing measures on multiply connected planar domains;Clancey, Kevin F.;Illinois J. Math.,1991

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