Generalized discrete orbit function transforms of affine Weyl groups
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Publication:2934208
DOI10.1063/1.4901230zbMath1329.17008arXiv1411.3894OpenAlexW2071350539MaRDI QIDQ2934208
Publication date: 11 December 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.3894
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Root systems (17B22)
Related Items (9)
Discrete Fourier transform associated with generalized Schur polynomials ⋮ On E–discretization of tori of compact simple Lie groups. II ⋮ Discrete even Fourier-Weyl transforms of \(A_1 \times A_1\) ⋮ Quantum particle on dual weight lattice in even Weyl alcove ⋮ Quantum particle on lattices in Weyl alcoves ⋮ Weight-lattice discretization of Weyl-orbit functions ⋮ Dual-root lattice discretization of Weyl orbit functions ⋮ Generating functions for orthogonal polynomials of \(A_{2}\), \(C_{2}\) and \(G_{2}\) ⋮ Quantum particle on dual root lattice in Weyl alcove
Cites Work
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- Cubature formulae for orthogonal polynomials in terms of elements of finite order of compact simple Lie groups
- Finite-dimensional orthogonality structures for Hall-Littlewood polynomials
- Orthogonality within the families of \(C\)-, \(S\)-, and \(E\)-functions of any compact semisimple Lie group
- Antisymmetric orbit functions
- \(E\)-orbit functions
- Orbit functions
- Orthogonality of Macdonald polynomials with unitary parameters
- On discretization of tori of compact simple Lie groups: II
- On Multivariate Chebyshev Polynomials and Spectral Approximations on Triangles
- Combinatorics of Coxeter Groups
- (Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms
- OnE-discretization of tori of compact simple Lie groups
- On discretization of tori of compact simple Lie groups
- On Bivariate Gaussian Cubature Formulae
- Quantum algorithm and circuit design solving the Poisson equation
- Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions
- Two-dimensional symmetric and antisymmetric generalizations of sine functions
- Four families of Weyl group orbit functions of B3 and C3
- On an inner product in modular tensor categories
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