Título inglés |
Spectral factorization of measurable rectangular matrix functions and the vector-valued Riemann problem. |
Título español |
Factorización espectral de funciones matriciales rectangulares medibles y el problema de Riemann valuado con vectores. |
Autor/es |
Rakowski, Marek ; Spitkovsky, Ilya |
Organización |
Dep. Mat. Ohio State Univ., Columbus (Ohio), Estados Unidos;Dep. Math. Coll. William and Mary, Williamsburg (Virginia), Estados Unidos |
Revista |
0213-2230 |
Publicación |
1996, 12 (3): 669-696, 14 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
We define spectral factorization in Lp (or a generalized Wiener-Hopf factorization) of a measurable singular matrix function on a simple closed rectifiable contour Γ. Such factorization has the same uniqueness properties as in the nonsingular case. We discuss basic properties of the vector valued Riemann problem whose coefficient takes singular values almost everywhere on Γ. In particular, we introduce defect numbers for this problem which agree with the usual defect numbers in the case of a nonsingular coefficient. Based on the Riemann problem, we obtain a necessary and sufficient condition for existence of a spectral factorization in Lp. |
Clasificación UNESCO |
120218 ; 120405 |
Palabras clave español |
Matrices ; Factorización ; Problema de Riemann ; Continuidad |
Código MathReviews |
MR1435480 |
Código Z-Math |
Zbl 0869.30028 |
Acceso al artículo completo |