The Lee-Yang and P\'olya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces
Complex Variables
2011-07-12 v1 Statistical Mechanics
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1107.1809,
title = {The Lee-Yang and P\'olya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces},
author = {Petter Brändén},
journal= {arXiv preprint arXiv:1107.1809},
year = {2011}
}
Comments
11 pages