On cubature rules associated to weyl group orbit functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F16%3A00302325" target="_blank" >RIV/68407700:21340/16:00302325 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.14311/AP.2016.56.0202" target="_blank" >http://dx.doi.org/10.14311/AP.2016.56.0202</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14311/AP.2016.56.0202" target="_blank" >10.14311/AP.2016.56.0202</a>
Alternative languages
Result language
angličtina
Original language name
On cubature rules associated to weyl group orbit functions
Original language description
The aim of this article is to describe several cubature formulas related to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials associated to root systems. The diagram containing the relations among the special functions associated to the Weyl group orbit functions is presented and the link between the Weyl group orbit functions and the Jacobi polynomials is explicitly derived in full generality. The four cubature rules corresponding to these polynomials are summarized for all simple Lie algebras and their properties simultaneously tested on model functions. The Clenshaw-Curtis method is used to obtain additional formulas connected with the simple Lie algebra C<inf>2</inf>.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/EE2.3.30.0034" target="_blank" >EE2.3.30.0034: Support of inter-sectoral mobility and quality enhancement of research teams at Czech Technical University in Prague</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Acta Polytechnica
ISSN
1805-2363
e-ISSN
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Volume of the periodical
56
Issue of the periodical within the volume
3
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
12
Pages from-to
202-213
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-84977495776