Discretization of Generalized Chebyshev Polynomials of (Anti)symmetric Multivariate Sine Functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00336046" target="_blank" >RIV/68407700:21340/19:00336046 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1742-6596/1416/1/012007" target="_blank" >https://doi.org/10.1088/1742-6596/1416/1/012007</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/1416/1/012007" target="_blank" >10.1088/1742-6596/1416/1/012007</a>

Result language
angličtina
Original language name
Discretization of Generalized Chebyshev Polynomials of (Anti)symmetric Multivariate Sine Functions
Original language description
The multivariate antisymmetric and symmetric trigonometric functions allow to generalize the four kinds of classical Chebyshev polynomials to multivariate settings. The four classes of the bivariate polynomials, related to the symmetrized sine functions, are studied in detail. For each of these polynomials, the weighted continuous and discrete orthogonality relations are shown. The related cubature formulas for numerical integration together with further model examples and properties of selected special cases are discussed.
Czech name
—
Czech description
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Project
<a href="/en/project/GA19-19535S" target="_blank" >GA19-19535S: Fourier methods of special functions of affine Weyl groups</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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