The generalized Saint Venant operator and integral moment transforms

In this article, we work with a generalized Saint Venant operator introduced by Vladimir Sharafutdinov [Inverse and ill-posed problems series, VSP, Utrecht, 1994] to describe the kernel of integral moment transforms over symmetric m m -tensor fields in alttext="n"> n encoding="application/x-tex">n -dimensional Euclidean space. We also provide an equivalence between injectivity question for tensor Schwartz class.