NESTERENKO, M. and S. POŠTA. Discrete analysis on non-cubic lattices. In: Journal of Physics: Conference Series. XXVI International Conference on Integrable Systems and Quantum symmetries, Praha, 2019-07-08/2019-07-12. Bristol: IOP Publishing Ltd., 2019. vol. 1416. ISSN 1742-6596. DOI 10.1088/1742-6596/1416/1/012024. Available from: https://iopscience.iop.org/article/10.1088/1742-6596/1416/1/012024
The paper proposes practical and computation methods for discrete analysis of functions defined on the weight lattices or model sets of semisimple Lie groups. They are entirely group theoretical, being based on finite groups and their duals. Numerical computations approximate target functions uniformly on the entire infinite space. Several examples are considered.
