124 citations · 735 across the 42 of their papers we have counts for
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Classification theorems for operators preserving zeros in a strip
Petter Brändén, Matthew Chasse
We characterize all linear operators which preserve spaces of entire functions whose zeros lie in a closed strip. Necessary and sufficient conditions are obtained for the related p…
The Lee-Yang and Pólya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces
Petter Brändén
We characterize linear operators preserving zero-restrictions on entire functions in weighted Bargmann-Fock spaces. The characterization extends previous results of J. Borcea and t…
A converse to the Grace--Walsh--Szegő theorem
Petter Brändén, David G. Wagner
We prove that the symmetrizer of a permutation group preserves stability of a polynomial if and only if the group is orbit homogeneous. A consequence is that the hypothesis of perm…
The Lee-Yang and Pólya-Schur Programs. II. Theory of Stable Polynomials and Applications
Julius Borcea, Petter Brändén
In the first part of this series we characterized all linear operators on spaces of multivariate polynomials preserving the property of being non-vanishing in products of open circ…
The Lee-Yang and Pólya-Schur Programs. I. Linear Operators Preserving Stability
Julius Borcea, Petter Brändén
In 1952 Lee and Yang proposed the program of analyzing phase transitions in terms of zeros of partition functions. Linear operators preserving non-vanishing properties are essentia…
Polya-Schur master theorems for circular domains and their boundaries
Julius Borcea, Petter Brändén
We characterize all linear operators on finite or infinite-dimensional polynomial spaces that preserve the property of having the zero set inside a prescribed region $Ω\subseteq \m…