Vector Polynomials and a Matrix Weight Associated to Dihedral Groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Vector Polynomials and a Matrix Weight Associated to Dihedral Groups
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| Creator |
Dunkl, C.F.
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| Description |
The space of polynomials in two real variables with values in a 2-dimensional irreducible module of a dihedral group is studied as a standard module for Dunkl operators. The one-parameter case is considered (omitting the two-parameter case for even dihedral groups). The matrix weight function for the Gaussian form is found explicitly by solving a boundary value problem, and then computing the normalizing constant. An orthogonal basis for the homogeneous harmonic polynomials is constructed. The coefficients of these polynomials are found to be balanced terminating ₄F₃-series.
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| Date |
2019-02-10T18:58:49Z
2019-02-10T18:58:49Z 2014 |
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| Type |
Article
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| Identifier |
Vector Polynomials and a Matrix Weight Associated to Dihedral Groups / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 5 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 33C52; 20F55; 33C45 DOI:10.3842/SIGMA.2014.044 http://dspace.nbuv.gov.ua/handle/123456789/146691 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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