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

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Resumo(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.

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Palavras-chave

Factorization Hankel operators Resolvent operator Singular integral operators

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Springer Netherlands

Licença CC

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