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періодичних видань НАН України
періодичних видань НАН України
Vector-Valued Polynomials and a Matrix Weight Function with B₂-Action. II
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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| dc.contributor.author | Dunkl, C.F. | |
| dc.date.accessioned | 2019-02-19T18:33:28Z | |
| dc.date.available | 2019-02-19T18:33:28Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | Vector-Valued Polynomials and a Matrix Weight Function with B₂-Action. II / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 1 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 33C52; 33C20 | |
| dc.identifier.other | DOI: http://dx.doi.org/10.3842/SIGMA.2013.043 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149200 | |
| dc.description.abstract | This is a sequel to [SIGMA 9 (2013), 007, 23 pages], in which there is a construction of a 2×2 positive-definite matrix function K(x) on R². The entries of K(x) are expressed in terms of hypergeometric functions. This matrix is used in the formula for a Gaussian inner product related to the standard module of the rational Cherednik algebra for the group W(B₂) (symmetry group of the square) associated to the (2-dimensional) reflection representation. The algebra has two parameters: k₀, k₁. In the previous paper K is determined up to a scalar, namely, the normalization constant. The conjecture stated there is proven in this note. An asymptotic formula for a sum of ₃F₂-type is derived and used for the proof. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Vector-Valued Polynomials and a Matrix Weight Function with B₂-Action. II | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
