26 citations · 212 across the 20 of their papers we have counts for
21 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…
On E-Discretization of Tori of Compact Simple Lie Groups: II
Jiří Hrivnák, Michal Juránek
Ten types of discrete Fourier transforms of Weyl orbit functions are developed. Generalizing one-dimensional cosine, sine and exponential, each type of the Weyl orbit function repr…
Weight-Lattice Discretization of Weyl-Orbit Functions
Jiří Hrivnák, Mark A. Walton
Weyl-orbit functions have been defined for each simple Lie algebra, and permit Fourier-like analysis on the fundamental region of the corresponding affine Weyl group. They have als…
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…