The Lee-Yang and Pólya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces
arXiv:1107.1809
Abstract
We characterize linear operators preserving zero-restrictions on entire functions in weighted Bargmann-Fock spaces. The characterization extends previous results of J. Borcea and the author to the realm of entire functions, and translates into an optimal, albeit formal, Lee-Yang theorem.
11 pages