C0-semigroups and resolvent operators approximated by Laguerre expansions

Abadias, Luciano (Universidad de Zaragoza) ; Miana, Pedro J. (Universidad de Zaragoza)

Resumen: In this paper we introduce Laguerre expansions to approximate vector-valued functions. We apply this result to approximate C0- semigroups and resolvent operators in abstract Banach spaces. We study certain Laguerre functions in order to estimate the rate of convergence of these expansions. Finally, we illustrate the main results of this paper with some examples: shift, convolution and holomorphic semigroups, where the rate of convergence is improved.

Idioma: Inglés

DOI: 10.1016/j.jat.2016.09.001

Año: 2017

Publicado en: Journal of Approximation Theory 213 (2017), 1-22
ISSN: 0021-9045

Factor impacto JCR: 0.939 (2017)

Categ. JCR: MATHEMATICS rank: 85 / 309 = 0.275 (2017) - Q2 - T1

Factor impacto SCIMAGO: 0.907 - Mathematics (miscellaneous) (Q1) - Numerical Analysis (Q2) - Analysis (Q2) - Applied Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P
Financiación: info:eu-repo/grantAgreement/ES/UZ/CUD2014-CIE-09

Tipo y forma: Article (Published version)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)