124006 20241125101129.0 doi 10.1007/s13398-022-01365-8 sideral 132627 ART-2023-132627 eng Carnicer, J. M. (orcid)0000-0003-4359-1499 Spherical Bessel functions and critical lengths 2023 Access copy available to the general public Unrestricted The 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. info:eu-repo/grantAgreement/ES/DGA/E41-17R info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.8 2023 MATHEMATICS 39 / 490 = 0.08 2023 Q1 T1 0.906 2023 Algebra and Number Theory 2023 Q1 Analysis 2023 Q1 Geometry and Topology 2023 Q1 Applied Mathematics 2023 Q1 Computational Mathematics 2023 Q2 4.7 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mainar, E. Universidad de Zaragoza (orcid)0000-0002-1101-6230 Peña, J. M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 117 (2023), 29 [11 pp] Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 1578-7303 331986 http://zaguan.unizar.es/record/124006/files/texto_completo.pdf Versión publicada 1102294 http://zaguan.unizar.es/record/124006/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:124006 articulos driver 2024-11-22-11:58:30 ARTICLE