24 citations · 32 across the 7 of their papers we have counts for
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math.CV2008★ 1 cited
Lee-Yang Problems and The Geometry of Multivariate Polynomials
Julius Borcea, Petter Brändén
We describe all linear operators on spaces of multivariate polynomials preserving the property of being non-vanishing in open circular domains. This completes the multivariate gene…
math.CA2008★ 3 cited
Preserving positive polynomials and beyond
Julius Borcea, Alexander Guterman, Boris Shapiro
Following the classical approach of Pólya-Schur theory we initiate in this paper the study of linear operators acting on and preserving either the set of positive u…