dc.contributor.author | Tirao, Juan Alfredo | |
dc.contributor.author | Zurrián, Ignacio Nahuel | |
dc.date.accessioned | 2021-09-14T17:24:31Z | |
dc.date.available | 2021-09-14T17:24:31Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Tirao, J. A. y Zurrián, I. N. (2014). Spherical functions of fundamental K-types associated with the n-dimensional sphere. Symmetry, Integrability and Geometry, 10, 1-41. https://doi.org/10.3842/SIGMA.2014.071 | es |
dc.identifier.uri | http://hdl.handle.net/11086/20304 | |
dc.identifier.uri | https://doi.org/10.3842/SIGMA.2014.071 | |
dc.description.abstract | In this paper, we describe the irreducible spherical functions of fundamental K-types associated with the pair (G, K) = (SO(n + 1), SO(n)) in terms of matrix hypergeometric functions. The output of this description is that the irreducible spherical functions of the same K-fundamental type are encoded in new examples of classical sequences of matrix-valued orthogonal polynomials, of size 2 and 3, with respect to a matrix-weight W supported on [0, 1]. Moreover, we show that W has a second order symmetric hypergeometric operator D. | en |
dc.language.iso | eng | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.source | ISSN 1815-0659 | |
dc.subject | Matrix-valued spherical functions | en |
dc.subject | Matrix orthogonal polynomials | en |
dc.subject | The matrix hypergeometric operator | en |
dc.subject | n-dimensional sphere | en |
dc.title | Spherical functions of fundamental K-types associated with the n-dimensional sphere | en |
dc.type | article | es |
dc.description.version | publishedVersion | es |
dc.description.fil | Fil: Tirao, Juan Alfredo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. | es |
dc.description.fil | Fil: Tirao, Juan Alfredo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. | es |
dc.description.fil | Fil: Zurrián, Ignacio Nahuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. | es |
dc.description.fil | Fil: Zurrián, Ignacio Nahuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. | es |
dc.journal.country | Ucrania | es |
dc.journal.editorial | The National Academy of Sciences of Ukraine | en |
dc.journal.referato | Con referato | |
dc.journal.title | Symmetry, Integrability and Geometry: Methods and Applications | en |
dc.journal.volume | 10 | es |
dc.description.field | Matemática Pura | |