Linear spectral transformations and Laurent polynomials

Autor:	Francisco Marcellán, Luis E. Garza
Jazyk:	angličtina
Rok vydání:	2009
Předmět:	Class (set theory) Linear spectral transformations Matemáticas General Mathematics Laurent series Laurent polynomial Verblunsky parameters Hermitian matrix Algebra Laurent polynomials Hessenberg matrices Linear form Quasi-definite linear functionals Multiplication Focus (optics) Mathematics
Zdroj:	e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid instname
Popis:	17 pages, 2 figures.-- MSC2000 codes: Primary 42C05; Secondary 15A23. In this manuscript we analyze some linear spectral transformations of a Hermitian linear functional using the multiplication by some class of Laurent polynomials. We focus our attention in the behavior of the Verblunsky parameters of the perturbed linear functional. Some illustrative examples are pointed out. The work of the first author has been supported by a grant of Universidad Autónoma de Tamaulipas. The work of the second author has been supported by Dirección General de Investigación, Ministerio de Educación y Ciencia of Spain, grant MTM06-13000-C03-02. Both authors have been supported by project CCG07-UC3M/ESP-3339 with the financial support of Comunidad de Madrid-Universidad Carlos III de Madrid. Publicado
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11dde1504fa6d94e3f60aca378f831b6 https://hdl.handle.net/10016/5893 Zobrazit plný text záznamu