论文标题

广义的圣地纳特操作员和整体力矩转换

The generalized Saint Venant operator and integral moment transforms

论文作者

Mishra, Rohit Kumar, Sahoo, Suman Kumar

论文摘要

在本文中,我们与Vladimir Sharafutdinov介绍的广义圣地纳特操作员合作,描述了整体矩的内核,而不是在n维欧几里得空间中对称对称的M量tensor场。我们还提供了整体矩变换的注射率问题与Schwartz类的对称张量场的广义圣地venant运算符之间的等价性。

In this article, we work with a generalized Saint Venant operator introduced by Vladimir Sharafutdinov to describe the kernel of the integral moment transforms over symmetric m-tensor fields in n-dimensional Euclidean space. We also provide an equivalence between the injectivity question for the integral moment transforms and the generalized Saint Venant operator over symmetric tensor fields of the Schwartz class.

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