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Matrix Functions of Bounded Type

In this paper, the authors study matrix functions of bounded type from the viewpoint of describing an interplay between function theory and operator theory. They first establish a criterion on the coprime-ness of two singular inner functions and obtain several properties of the Douglas-Shapiro-Shiel...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Curto, Raúl E.
Otros Autores: Hwang, In Sung, Lee, Woo Young
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2019.
Colección:Memoirs of the American Mathematical Society Ser.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:In this paper, the authors study matrix functions of bounded type from the viewpoint of describing an interplay between function theory and operator theory. They first establish a criterion on the coprime-ness of two singular inner functions and obtain several properties of the Douglas-Shapiro-Shields factorizations of matrix functions of bounded type. They propose a new notion of tensored-scalar singularity, and then answer questions on Hankel operators with matrix-valued bounded type symbols. They also examine an interpolation problem related to a certain functional equation on matrix functi.
Descripción Física:1 online resource (112 pages)
ISBN:9781470453237
1470453231