Lenka Motlochová

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Jiří Hrivnák 1,*, Lenka Motlochová 1 and Jiří Patera 2,3 1 Department of Physics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, CZ-115 19 Prague 1, Czech Republic; lenka.motlochova@fjfi.cvut.cz 2 Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128—Centre Ville, Montréal, QC H3C 3J7,(More)
The discrete cosine transforms of types V–VIII are generalized to the antisymmetric and symmetric multivariate discrete cosine transforms. Four families of discretely and continuously orthogonal Chebyshev-like polynomials corresponding to the antisymmetric and symmetric generalizations of cosine functions are introduced. Each family forms an orthogonal(More)
The discrete cosine and sine transforms are generalized to a triangular fragment of the honeycomb lattice. The two-variable orbit functions of the Weyl group A2, discretized simultaneously on the weight and root lattices, induce the family of the extended Weyl orbit functions. The periodicity and von Neumann and Dirichlet boundary properties of the extended(More)
The aim of this paper is to make an explicit link between the Weyl-orbit functions and the corresponding polynomials, on the one hand, and to several other families of special functions and orthogonal polynomials on the other. The cornerstone is the connection that is made between the one-variable orbit functions of A1 and the four kinds of Chebyshev(More)
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