Finite rank Bargmann–Toeplitz operators with non-compactly supported symbols

Grigori Rozenblum
2012 Bulletin of Mathematical Sciences  
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.
doi:10.1007/s13373-012-0023-x fatcat:e7q7pnaopjbofegon5xgx55lh4