The rank of projection-algebraic representations of some differential operators

The Lie-algebraic method approximates differential operators that are formal polynomials of ${1,x,frac{d}{dx}}$ by linear operators acting on a finite dimensional space of polynomials. In this paper we prove that the rank of the $n$-dimensional representation of the operator $$K=a_k frac{d^k}{dx^k}+...

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Bibliographic Details
Main Authors: O. Bihun, M. Prytula
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2011-03-01
Series:Математичні Студії
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Online Access:http://matstud.org.ua/texts/2011/35_1/9-21.pdf
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