# Discrete Transforms and Orthogonal Polynomials of (Anti)symmetric Multivariate Sine Functions

@article{Brus2018DiscreteTA, title={Discrete Transforms and Orthogonal Polynomials of (Anti)symmetric Multivariate Sine Functions}, author={Adam Brus and Jiř{\'i} Hrivn{\'a}k and Lenka Motlochov{\'a}}, journal={Entropy}, year={2018}, volume={20} }

Sixteen types of the discrete multivariate transforms, induced by the multivariate antisymmetric and symmetric sine functions, are explicitly developed. Provided by the discrete transforms, inherent interpolation methods are formulated. The four generated classes of the corresponding orthogonal polynomials generalize the formation of the Chebyshev polynomials of the second and fourth kinds. Continuous orthogonality relations of the polynomials together with the inherent weight functions are…

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