58 citations · 279 across the 24 of their papers we have counts for
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math.RA2015
On Factoring an Operator Using Elements of its Kernel
Alex Kasman
A well-known theorem factors a scalar coefficient differential operator given a linearly independent set of functions in its kernel. The goal of this paper is to generalize this us…
math.RA2015
Factorization of a Matrix Differential Operator Using Functions in its Kernel
Alex Kasman
Just as knowing some roots of a polynomial allows one to factor it, a well-known result provides a factorization of any scalar differential operator given a set of linearly indepen…
math.RA1999
Commutative Partial Differential Operators
Alex Kasman, Emma Previato
In one variable, there exists a satisfactory classification of commutative rings of differential operators. In several variables, even the simplest generalizations seem to be unkno…