Factorization of some classes of matrix functions and the resolvent of a Hankel operator

Conceição, Ana C.; Kravchenko, Viktor; Teixeira, Francisco S.

http://hdl.handle.net/10400.1/14630

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Authors

Conceição, Ana C.

Kravchenko, Viktor

Teixeira, Francisco S.

Abstract(s)

The factorization of some classes of matrix-valued functions is obtained, which yields some new results for a special class of Hankel integral operators in L-2(+). For each of its elements, it is shown that the resolvent operator can be explicitly determined through a matrix factorization obtained by solving two non-homogeneous equations.