Differential operators and weighted isobaric polynomials

摘要

We characterize those sequences of weighted isobaric polynomials which belong to the kernel of the linear operator D-11 - Sigma(k)(j=1) a(j)t(j)D(2j) - mD(2), m >= 1, k >= 2, and we characterize those linear operators of this form which have a nonzero kernel in terms of the coefficients a(j).