| dc.creator | Tirao, Juan Alfredo | |
| dc.creator | Zurrián, Ignacio Nahuel | |
| dc.date.accessioned | 2021-09-14T17:24:31Z | |
| dc.date.accessioned | 2022-10-14T18:11:50Z | |
| dc.date.available | 2021-09-14T17:24:31Z | |
| dc.date.available | 2022-10-14T18:11:50Z | |
| dc.date.created | 2021-09-14T17:24:31Z | |
| dc.date.issued | 2014 | |
| dc.identifier | 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 | |
| dc.identifier | http://hdl.handle.net/11086/20304 | |
| dc.identifier | https://doi.org/10.3842/SIGMA.2014.071 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4266118 | |
| 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. | |
| dc.language | eng | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | |
| dc.source | ISSN 1815-0659 | |
| dc.subject | Matrix-valued spherical functions | |
| dc.subject | Matrix orthogonal polynomials | |
| dc.subject | The matrix hypergeometric operator | |
| dc.subject | n-dimensional sphere | |
| dc.title | Spherical functions of fundamental K-types associated with the n-dimensional sphere | |
| dc.type | article | |
