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The Lee-Yang and Pólya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces (1107.1809v1)
Published 9 Jul 2011 in math.CV, cond-mat.stat-mech, math-ph, and 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.