Discrete Orthogonality of Bivariate Polynomials of A2, C2 and G2

Jiří Hrivnák, Jiří Patera, Marzena Szajewska
2019 Symmetry  
We develop discrete orthogonality relations on the finite sets of the generalized Chebyshev nodes related to the root systems A 2 , C 2 and G 2 . The orthogonality relations are consequences of orthogonality of four types of Weyl orbit functions on the fragments of the dual weight lattices. A uniform recursive construction of the polynomials as well as explicit presentation of all data needed for the discrete orthogonality relations allow practical implementation of the related Fourier methods.
more » ... ed Fourier methods. The polynomial interpolation method is developed and exemplified.
doi:10.3390/sym11060751 fatcat:u6fpiakyvrcsvd4mfca5p2huqq