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A FIRST LOOK AT DIFFERENTIAL ALGEBRA.
Another extension of the disc algebra
Disc Algebra Mergelyan’s Theorem Polynomial Approximation
2011/2/22
We identify the complex plane C with the open unit disc D = {z ∈ C : |z| < 1}by the homeomorphism C ∋ z 7→ z 1+|z| ∈ D.
An analogue of the Conjecture of Dixmier is true for the algebra of polynomial integro-differential operators
Conjecture algebra polynomial integro-differential operators
2010/11/19
Let $A_1:=K\langle x, \frac{d}{dx} \rangle$ be the Weyl algebra and $\mI_1:= K\langle x, \frac{d}{dx}, \int \rangle$ be the algebra of polynomial integro-differential operators over a field $K$ of cha...
The algebra of integro-differential operators on an affine line and its modules
algebra integro-differential operators affine line
2010/11/19
For the algebra $\mI_1= K\langle x, \frac{d}{dx}, \int \rangle$ of polynomial integro-differential operators over a field $K$ of characteristic zero, a classification of simple modules is given. It i...