%0 Journal Article
%T Finite rank Bargmann¨CToeplitz operators with non-compactly supported symbols
%A Grigori Rozenblum
%J Bulletin of Mathematical Sciences
%@ 1664-3615
%D 2012
%I Springer
%R 10.1007/s13373-012-0023-x
%X Theorems about characterization of finite rank Toeplitz operators in Fock¨CSegal¨CBargmann 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¨CWeierstrass approximation theorem.
%K Bargmann spaces
%K Toeplitz operators
%U http://link.springer.com/article/10.1007/s13373-012-0023-x