The Lee-Yang and Pólya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces

Details The Lee-Yang and Pólya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces The Lee-Yang and Pólya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces

2011-07-09

arxiv.org/abs/1107.1809v1

Mathematics

Complex Variables

11 pages

Scientific paper

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.

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