Multivariate Pólya-Schur classification problems in the Weyl algebra
نویسندگان
چکیده
منابع مشابه
Multivariate Pólya-schur Classification Problems in the Weyl Algebra
A multivariate polynomial is stable if it is nonvanishing whenever all variables have positive imaginary parts. We classify all linear partial differential operators in the Weyl algebra An that preserve stability. An important tool that we develop in the process is the higher dimensional generalization of Pólya-Schur’s notion of multiplier sequence. We characterize all multivariate multiplier s...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2010
ISSN: 0024-6115
DOI: 10.1112/plms/pdp049