Discrete Orthogonality of Bivariate Polynomials of A2, C2 and G2
Department of Physics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19 Prague 1, Czech Republic
Centre de Recherches Mathématiques et Département de Mathématiques et de Statistique, Université de Montréal, C. P. 6128—Centre Ville, Montréal, QC H3C 3J7, Canada
Institute of Mathematics, University of Białystok, Ciołkowskiego 1M, 15-245 Białystok, Poland
Author to whom correspondence should be addressed.
Received: 30 April 2019 / Revised: 27 May 2019 / Accepted: 28 May 2019 / Published: 3 June 2019
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We develop discrete orthogonality relations on the finite sets of the generalized Chebyshev nodes related to the root systems
. 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. The polynomial interpolation method is developed and exemplified.
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MDPI and ACS Style
Hrivnák, J.; Patera, J.; Szajewska, M. Discrete Orthogonality of Bivariate Polynomials of A2, C2 and G2. Symmetry 2019, 11, 751.
Hrivnák J, Patera J, Szajewska M. Discrete Orthogonality of Bivariate Polynomials of A2, C2 and G2. Symmetry. 2019; 11(6):751.
Hrivnák, Jiří; Patera, Jiří; Szajewska, Marzena. 2019. "Discrete Orthogonality of Bivariate Polynomials of A2, C2 and G2." Symmetry 11, no. 6: 751.
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