Spherical Bessel functions and critical lengths

Carnicer, J. M. ; Mainar, E. (Universidad de Zaragoza) ; Peña, J. M. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s13398-022-01365-8

Año: 2023

Publicado en: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 117 (2023), 29 [11 pp]
ISSN: 1578-7303

Factor impacto JCR: 1.8 (2023)

Categ. JCR: MATHEMATICS rank: 39 / 490 = 0.08 (2023) - Q1 - T1

Factor impacto CITESCORE: 4.7 - Applied Mathematics (Q1) - Computational Mathematics (Q1) - Analysis (Q1) - Geometry and Topology (Q1) - Algebra and Number Theory (Q1)

Factor impacto SCIMAGO: 0.906 - Algebra and Number Theory (Q1) - Analysis (Q1) - Geometry and Topology (Q1) - Applied Mathematics (Q1) - Computational Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-17R
Financiación: info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)