Finite Rank Bargmann-Toeplitz Operators with Non-Compactly Supported Symbols
Functional Analysis
2012-03-27 v2 Complex Variables
Abstract
Theorems about characterization of finite rank Toeplitz operators in Fock-Segal-Bargmann spaces, known previously only for symbols with compact support, are carried over to symbols without that restriction, however with a rather rapid decay at infinity. The proof is based upon a new version of the Stone-Weierstrass approximation theorem.
Cite
@article{arxiv.1203.4927,
title = {Finite Rank Bargmann-Toeplitz Operators with Non-Compactly Supported Symbols},
author = {Grigori Rozenblum},
journal= {arXiv preprint arXiv:1203.4927},
year = {2012}
}