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Journal Article

Factorization of a Matrix Differential Operator Using Functions in Its Kernel

Alex Kasman
The American Mathematical Monthly
Vol. 123, No. 7 (August-September 2016), pp. 704-709
DOI: 10.4169/amer.math.monthly.123.7.704
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.123.7.704
Page Count: 6
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Factorization of a Matrix Differential Operator Using Functions in Its Kernel
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Abstract

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 independent functions in its kernel. This note provides a straightforward generalization to the case of matrix coefficient differential operators.

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