Main purpose of this paper is to obtain fundamental relationships for the integrals and the matrix Wiener transforms on Hilbert space. Using some technics and properties of matrices of real numbers, we state some algebraic structure of matrices. We then establish evaluation formulas with examples. Furthermore, we define the matrix Wiener transform, and investigate some properties of the matrix Wiener transform. Finally, we establish relationships for the matrix Wiener transform.
CHUNG, HYUN SOO
"Some properties of the matrix Wiener transform with related topics on Hilbert space,"
Turkish Journal of Mathematics: Vol. 46:
3, Article 27.
Available at: https://journals.tubitak.gov.tr/math/vol46/iss3/27