Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/13478
Título: | Factorization in a torus and Riemann-Hilbert problems |
Autor(es): | Câmara, M. C. Malheiro, Teresa |
Palavras-chave: | Riemann-Hilbert problem Factorization Riemann surfaces Toeplitz operator Riemann-Hilbert problems Toeplitz operators |
Data: | 2012 |
Editora: | Elsevier 1 |
Revista: | Journal of Mathematical Analysis and Applications |
Resumo(s): | A new concept of meromorphic $\Sigma$-factorization, for H\"{o}lder continuous functions defined on a contour $\Gamma$ that is the pullback of $\dot{\mathbb{R}}$ (or the unit circle) in a Riemann surface $\Sigma$ of genus 1, is introduced and studied, and its relations with holomorphic $\Sigma$-factorization are discussed. It is applied to study and solve some scalar Riemann-Hilbert problems in $\Sigma$ and vectorial Riemann-Hilbert problems in $\mathbb{C}$, including Wiener-Hopf matrix factorization, as well as to study some properties of a class of Toeplitz operators with $2 \times 2$ matrix symbols. |
Tipo: | Artigo |
Descrição: | Article in press, corrected proof |
URI: | https://hdl.handle.net/1822/13478 |
DOI: | 10.1016/j.jmaa.2011.08.002 |
ISSN: | 0022-247X |
Versão da editora: | http://www.sciencedirect.com/ |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
Fact_torus_arxive.pdf | Documento principal | 267,36 kB | Adobe PDF | Ver/Abrir |