论文信息 - Operator expansion in the derivative and multiplication by x

Operator expansion in the derivative and multiplication by x

We generalize to several variables Kurbanow and Maksimov's result that all linear polynornial operators can be expressed as a formal sum in terms of the derivative D (or any degree reducing operator) and multiplication by x.Applications to numerical analysis are given. In contrast, we characterize those linear operators that can be expressed as a formal sum and give several examples. The set of such operators is closed under composition. Generalizations to several variables and arbitrary degree reducing operators are considered.

D. E. Loeb | A. Di Bucchianico | D. Loeb | A. D. Bucchianico

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