000124006 001__ 124006 000124006 005__ 20230224162826.0 000124006 0247_ $$2doi$$a10.1007/s13398-022-01365-8 000124006 0248_ $$2sideral$$a132627 000124006 037__ $$aART-2023-132627 000124006 041__ $$aeng 000124006 100__ $$0(orcid)0000-0003-4359-1499$$aCarnicer, J. M. 000124006 245__ $$aSpherical Bessel functions and critical lengths 000124006 260__ $$c2023 000124006 5060_ $$aAccess copy available to the general public$$fUnrestricted 000124006 5203_ $$aThe critical length of a space of functions can be described as the supremum of the length of the intervals where Hermite interpolation problems are unisolvent for any choice of nodes. We analyze the critical length for spaces containing products of algebraic polynomials and trigonometric functions. We show the relation of these spaces with spherical Bessel functions and bound above their critical length by the first positive zero of a Bessel function of the first kind. 000124006 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-17R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 000124006 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000124006 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000124006 700__ $$0(orcid)0000-0002-1101-6230$$aMainar, E.$$uUniversidad de Zaragoza 000124006 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, J. M.$$uUniversidad de Zaragoza 000124006 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000124006 773__ $$g117 (2023), 29 [11 pp]$$pRev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat.$$tRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas$$x1578-7303 000124006 8564_ $$s331986$$uhttps://zaguan.unizar.es/record/124006/files/texto_completo.pdf$$yVersión publicada 000124006 8564_ $$s1102294$$uhttps://zaguan.unizar.es/record/124006/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000124006 909CO $$ooai:zaguan.unizar.es:124006$$particulos$$pdriver 000124006 951__ $$a2023-02-24-14:23:31 000124006 980__ $$aARTICLE