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.
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Dedicated to Professor Georgii S. Litvinchuk on the occasion of his 70th birthday
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Conceição, A.C., Kravchenko, V.G., Teixeira, F.S. (2003). Factorization of Some Classes of Matrix Functions and the Resolvent of a Hankel Operator. In: Samko, S., Lebre, A., dos Santos, A.F. (eds) Factorization, Singular Operators and Related Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0227-0_8
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DOI: https://doi.org/10.1007/978-94-017-0227-0_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6333-5
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