Factorization of Some Classes of Matrix Functions and the Resolvent of a Hankel Operator

Ana C. Conceição (), Viktor G. Kravchenko () and Francisco S. Teixeira ()
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Ana C. Conceição: F.C.T., Universidade do Algarve, Área Departamental de Matemática
Viktor G. Kravchenko: F.C.T., Universidade do Algarve, Área Departamental de Matemática
Francisco S. Teixeira: Instituto Superior Técnico, Departamento de Matemática

A chapter in Factorization, Singular Operators and Related Problems, 2003, pp 101-110 from Springer

Abstract: Abstract 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.

Keywords: factorization; Hankel operators; resolvent operator; singular integral operators (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0227-0_8

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DOI: 10.1007/978-94-017-0227-0_8

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