000130729 001__ 130729 000130729 005__ 20240131210810.0 000130729 0247_ $$2doi$$a10.1016/j.jmaa.2015.01.041 000130729 0248_ $$2sideral$$a89500 000130729 037__ $$aART-2015-89500 000130729 041__ $$aeng 000130729 100__ $$0(orcid)0000-0003-2453-7841$$aAbadias,L.$$uUniversidad de Zaragoza 000130729 245__ $$aHermite expansions of C0-groups and cosine functions 000130729 260__ $$c2015 000130729 5060_ $$aAccess copy available to the general public$$fUnrestricted 000130729 5203_ $$aIn 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. 000130729 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000130729 590__ $$a1.014$$b2015 000130729 591__ $$aMATHEMATICS$$b56 / 311 = 0.18$$c2015$$dQ1$$eT1 000130729 591__ $$aMATHEMATICS, APPLIED$$b88 / 254 = 0.346$$c2015$$dQ2$$eT2 000130729 592__ $$a1.15$$b2015 000130729 593__ $$aApplied Mathematics$$c2015$$dQ1 000130729 593__ $$aAnalysis$$c2015$$dQ2 000130729 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000130729 700__ $$0(orcid)0000-0001-9430-343X$$aMiana,P. J.$$uUniversidad de Zaragoza 000130729 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000130729 773__ $$g426, 1 (2015), 288-311$$pJ. math. anal. appl.$$tJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS$$x0022-247X 000130729 8564_ $$s255796$$uhttps://zaguan.unizar.es/record/130729/files/texto_completo.pdf$$yPostprint 000130729 8564_ $$s1388172$$uhttps://zaguan.unizar.es/record/130729/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000130729 909CO $$ooai:zaguan.unizar.es:130729$$particulos$$pdriver 000130729 951__ $$a2024-01-31-19:16:29 000130729 980__ $$aARTICLE