Geodesic
Quasi-Invariants of Dihedral Systems
Matematičeskie zametki, Tome 76 (2004) no. 5, pp. 776-791

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For two-dimensional Coxeter systems with arbitrary multiplicities, a basis of the module of quasi-invariants over the invariants is explicitly constructed. It is proved that the basis thus obtained consists of $m$-harmonic polynomials. Hence this generalizes earlier results of Veselov and the author for systems of constant multiplicity. 
@article{MZM_2004_76_5_a12,
     author = {M. V. Feigin},
     title = {Quasi-Invariants of {Dihedral} {Systems}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {776--791},
     publisher = {mathdoc},
     volume = {76},
     number = {5},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_5_a12/}
}
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M. V. Feigin. Quasi-Invariants of Dihedral Systems. Matematičeskie zametki, Tome 76 (2004) no. 5, pp. 776-791. http://geodesic.mathdoc.fr/item/MZM_2004_76_5_a12/