Hermite expansions of C0-groups and cosine functions

Abadias,L. (Universidad de Zaragoza) ; Miana,P. J. (Universidad de Zaragoza)

Resumen: In this paper we introduce vector-valued Hermite expansions to approximate one-parameter operator families such as -groups and cosine functions. In both cases we estimate the rate of convergence of these Hermite expansions to the related family and compare to other already known approximations. Finally, we illustrate our results with particular examples of -groups and cosine functions and their Hermite expansions.

Idioma: Inglés

DOI: 10.1016/j.jmaa.2015.01.041

Año: 2015

Publicado en: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 426, 1 (2015), 288-311
ISSN: 0022-247X

Factor impacto JCR: 1.014 (2015)

Categ. JCR: MATHEMATICS rank: 56 / 311 = 0.18 (2015) - Q1 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 88 / 254 = 0.346 (2015) - Q2 - T2

Factor impacto SCIMAGO: 1.15 - Applied Mathematics (Q1) - Analysis (Q2)

Tipo y forma: Article (PostPrint)

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