Mishra, Rohit KumarRohit KumarMishraSahoo, Suman KumarSuman KumarSahoo2025-08-312025-08-312023-01-0110.1090/proc/160802-s2.0-85143150693https://d8.irins.org/handle/IITG2025/25800In 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 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 generalized Saint Venant operator over symmetric tensor fields of Schwartz class.trueintegral geometry | integral moment ray transforms | Saint Venant operator | tensor tomographyArticle10886826189-1991 January 20233arJournal4WOS:000849636000001