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Statements

Subject Item
n2:RIV%2F68407700%3A21340%2F12%3A00202259%21RIV13-MSM-21340___
rdf:type
skos:Concept n15:Vysledek
dcterms:description
The discrete orthogonality of special function families, called C- and S-functions, which are derived from the characters of compact simple Lie groups, is described in Hrivnak and Patera (2009 J. Phys. A: Math. Theor. 42 385208). Here, the results of Hrivnak and Patera are extended to two additional recently discovered families of special functions, called S-s- and S-l-functions. The main result is an explicit description of their pairwise discrete orthogonality within each family, when the functions are sampled on finite fragments F-M(s) and F-M(l) of a lattice in any dimension n >= 2 and of any density controlled by M, and of the symmetry of the weight lattice of any compact simple Lie group with two different lengths of roots. The discrete orthogonality of special function families, called C- and S-functions, which are derived from the characters of compact simple Lie groups, is described in Hrivnak and Patera (2009 J. Phys. A: Math. Theor. 42 385208). Here, the results of Hrivnak and Patera are extended to two additional recently discovered families of special functions, called S-s- and S-l-functions. The main result is an explicit description of their pairwise discrete orthogonality within each family, when the functions are sampled on finite fragments F-M(s) and F-M(l) of a lattice in any dimension n >= 2 and of any density controlled by M, and of the symmetry of the weight lattice of any compact simple Lie group with two different lengths of roots.
dcterms:title
On discretization of tori of compact simple Lie groups: II On discretization of tori of compact simple Lie groups: II
skos:prefLabel
On discretization of tori of compact simple Lie groups: II On discretization of tori of compact simple Lie groups: II
skos:notation
RIV/68407700:21340/12:00202259!RIV13-MSM-21340___
n15:predkladatel
n16:orjk%3A21340
n3:aktivita
n13:Z
n3:aktivity
Z(MSM6840770039)
n3:cisloPeriodika
25
n3:dodaniDat
n19:2013
n3:domaciTvurceVysledku
n14:1785621
n3:druhVysledku
n6:J
n3:duvernostUdaju
n10:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
156217
n3:idVysledku
RIV/68407700:21340/12:00202259
n3:jazykVysledku
n20:eng
n3:klicovaSlova
special functions; discrete orthogonality; interpolation
n3:klicoveSlovo
n7:discrete%20orthogonality n7:special%20functions n7:interpolation
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[31F766AFF7F7]
n3:nazevZdroje
Journal of Physics A: Mathematical and Theoretical
n3:obor
n5:BE
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:rokUplatneniVysledku
n19:2012
n3:svazekPeriodika
45
n3:tvurceVysledku
Patera, J. Hrivnák, Jiří Motlochová, L.
n3:wos
000305395200006
n3:zamer
n17:MSM6840770039
s:issn
1751-8113
s:numberOfPages
18
n18:doi
10.1088/1751-8113/45/25/255201
n11:organizacniJednotka
21340