Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/11630
Título: | Meromorphic factorization revisited and application to some groups of matrix functions |
Autor(es): | Câmara, M. C. Malheiro, Teresa |
Palavras-chave: | Meromorphic factorization Wiener–hopf factorization Toeplitz operator |
Data: | 2008 |
Editora: | Springer |
Revista: | Complex Analysis and Operator Theory |
Citação: | "Complex Analysis and Operator Theory". ISSN 1661-8254. 2:2 (Sept. 2008) 299-326. |
Resumo(s): | Some properties and applications of meromorphic factorization of matrix functions are studied. It is shown that a meromorphic factorization of a matrix function G allows one to characterize the kernel of the Toeplitz operator with symbol G without actually having to previously obtain a Wiener–Hopf factorization. A method to turn a meromorphic factorization into a Wiener–Hopf one which avoids having to factorize a rational matrix that appears, in general, when each meromorphic factor is treated separately, is also presented. The results are applied to some classes of matrix functions for which the existence of a canonical factorization is studied and the factors of a Wiener–Hopf factorization are explicitly determined. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/11630 |
DOI: | 10.1007/s11785-008-0054-1 |
ISSN: | 1661-8254 |
Versão da editora: | www.springerlink.com |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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CamaraMalheiro.pdf Acesso restrito! | 277,94 kB | Adobe PDF | Ver/Abrir |