. C O ] 9 F eb 1 99 5 Operator Expansion in the Derivative and Multiplication by x


We generalize to several variables Kurbanov and Maksimov’s result that all linear polynomial operators can be expressed as a formal sum ∑∞ k=0 ak(X) D k in terms of the derivative D (or any degree reducing operator) and multiplication by x. In contrast, we characterize those linear operators that can be expressed as ∑∞ k=0 fk(D) X k and give several… (More)


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