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

Conceição, Ana C.Kravchenko, ViktorTeixeira, Francisco S.Samko, S.Lebre, A.DosSantos, A. F.2020-08-062020-08-0620031-4020-1407-4978-94-017-0227-0978-90-481-6333-5publons.com/p/11645405/http://hdl.handle.net/10400.1/14630The 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.engFactorizationHankel operatorsResolvent operatorSingular integral operatorsFactorization of some classes of matrix functions and the resolvent of a Hankel operatorbook part2020-08-06cv-prod-198089310.1007/978-94-017-0227-0_8