Journal
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
Volume 62, Issue 12, Pages 1595-1631Publisher
JOHN WILEY & SONS INC
DOI: 10.1002/cpa.20295
Keywords
-
Categories
Ask authors/readers for more resources
In the first part of this series we characterized all linear operators on spaces of multivariate polynomials preserving the property of being nonvanishing in products of open circular domains. For such sets this completes the multivariate generalization of the classification program initiated by Polya and Schur for univariate real polynomials. We build on these classification theorems to develop here a theory of multivariate stable polynomials. Applications and examples show that this theory provides a natural framework for dealing in a uniform way with Lee-Yang type problems in statistical mechanics, combinatorics, and geometric function theory in one or several variables. In particular, we answer a question of Hinkkanen on multivariate apolarity. (C) 2009 Wiley Periodicals, Inc.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available