|
Finite rank Bargmann–Toeplitz operators with non-compactly supported symbolsDOI: 10.1007/s13373-012-0023-x Keywords: Bargmann spaces,Toeplitz operators 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.
|