期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications | |
Vector Polynomials and a Matrix Weight Associated to Dihedral Groups | |
article | |
Charles F. Dunkl1  | |
[1] Department of Mathematics, University of Virginia | |
关键词: standard module; Gaussian weight; | |
DOI : 10.3842/SIGMA.2014.044 | |
来源: National Academy of Science of Ukraine | |
【 摘 要 】
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 4 F 3 -series.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300001354ZK.pdf | 398KB | download |