35 citations · 122 across the 7 of their papers we have counts for
8 papers
Discrete cosine and sine transforms generalized to honeycomb lattice
Jiří Hrivnák, Lenka Motlochová
The discrete cosine and sine transforms are generalized to a triangular fragment of the honeycomb lattice. The honeycomb point sets are constructed by subtracting the root lattice…
Dual-root lattice discretization of Weyl orbit functions
Jiří Hrivnák, Lenka Motlochová
Four types of discrete transforms of Weyl orbit functions on the finite point sets are developed. The point sets are formed by intersections of the dual-root lattices with the fund…
Cubature formulas of multivariate polynomials arising from symmetric orbit functions
Jiří Hrivnák, Lenka Motlochová, Jiří Patera
The paper develops applications of symmetric orbit functions, known from irreducible representations of simple Lie groups, in numerical analysis. It is shown that these functions h…
Discrete transforms and orthogonal polynomials of (anti)symmetric multivariate cosine functions
Jiří Hrivnák, Lenka Motlochová
The discrete cosine transforms of types V--VIII are generalized to the antisymmetric and symmetric multivariate discrete cosine transforms. Four families of discretely and continuo…
On Discretization of Tori of Compact Simple Lie Groups II
Jiří Hrivnák, Lenka Motlochová, Jiří Patera
The discrete orthogonality of special function families, called - and -functions, which are derived from the characters of compact simple Lie groups, is described in Hrivnák…
Gaussian cubature arising from hybrid characters of simple Lie groups
Robert V. Moody, Lenka Motlochova, Jiri Patera
Lie groups with two different root lengths allow two mixed sign homomorphisms on their corresponding Weyl groups, which in turn give rise to two families of hybrid Weyl group orbit…
Four families of orthogonal polynomials of C2 and symmetric and antisymmetric generalizations of sine and cosine functions
Lenka Motlochova, Jiri Patera
Four families of generalizations of trigonometric functions were recently introduced. In the paper the functions are transformed into four families of orthogonal polynomials depend…
Two dimensional symmetric and antisymmetric generalizations of sine functions
Jiří Hrivnák, Lenka Motlochová, Jiří Patera
Properties of 2-dimensional generalizations of sine functions that are symmetric or antisymmetric with respect to permutation of their two variables are described. It is shown that…