The problem of analysis vectors, each component of which is functional data, has been considered, and it has been tried to introduce and implement the problem of principal component analysis in the case where it is assumed that each function can have a distinct domain. Also, due to the complexity of the discussed mathematical space, it was necessary to explain how to use the discussed techniques in practical implementation. Finally, an application in the manufacturing and production process is presented, and it is tried to use this technique as a dimension reduction technique for this problem.