Classifications of linear operators preserving elliptic, positive and non-negative polynomials
نویسندگان
چکیده
منابع مشابه
Classifications of Linear Operators Preserving Elliptic, Positive and Non-negative Polynomials
We characterize all linear operators on finite or infinite-dimensional spaces of univariate real polynomials preserving the sets of elliptic, positive, and non-negative polynomials, respectively. This is done by means of FischerFock dualities, Hankel forms, and convolutions with non-negative measures. We also establish higher-dimensional analogs of these results. In particular, our classificati...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2011
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle.2011.003