26 citations · 212 across the 20 of their papers we have counts for
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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…
Discretized Weyl-orbit functions: modified multiplication and Galois symmetry
Jiří Hrivnák, Mark A. Walton
We note a remarkable similarity between the discretized Weyl-orbit functions and affine modular data associated with Wess-Zumino-Novikov-Witten (WZNW) conformal field theories. Kno…
Generalized discrete orbit function transforms of affine Weyl groups
Tomasz Czyżycki, Jiří Hrivnák
The affine Weyl groups with their corresponding four types of orbit functions are considered. Two independent admissible shifts, which preserve the symmetries of the weight and the…