Chebyshev polynomials for a three-dimensional algebra. (English. Russian original) Zbl 1397.33006
Theor. Math. Phys. 185, No. 1, 1462-1470 (2015); translation from Teor. Mat. Fiz. 185, No. 1, 118-126 (2015).
Summary: We use the direct correspondence between anti-invariant Weyl functions and multivariate Chebyshev polynomials, which allows obtaining the Chebyshev polynomials themselves. We illustrate the obtained results with polynomials for the algebra \(C_3\).
MSC:
| 33C52 | Orthogonal polynomials and functions associated with root systems |
| 17B10 | Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) |
| 17B20 | Simple, semisimple, reductive (super)algebras |
| 42B25 | Maximal functions, Littlewood-Paley theory |
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