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Statements

Subject Item
n2:RIV%2F68407700%3A21340%2F10%3A00179468%21RIV12-MSM-21340___
rdf:type
n12:Vysledek skos:Concept
dcterms:description
We consider an exceptional compact simple Lie group G, the corresponding affine Weyl group and its even subgroup. Given a positive integer M, we introduce a finite set of lattice points F-M(e). The even affine Weyl group determines the symmetry of the grid F-M(e), the number M determines its density. We present a construction of the set F-M(e) and explicitly count the numbers of its points for the cases of G(2) and F-4. We specify the maximal set of pairwise orthogonal E-functions over F-M(e). This finite set allows us to calculate Fourier like discrete expansions of an arbitrary discrete function on F-M(e). We consider an exceptional compact simple Lie group G, the corresponding affine Weyl group and its even subgroup. Given a positive integer M, we introduce a finite set of lattice points F-M(e). The even affine Weyl group determines the symmetry of the grid F-M(e), the number M determines its density. We present a construction of the set F-M(e) and explicitly count the numbers of its points for the cases of G(2) and F-4. We specify the maximal set of pairwise orthogonal E-functions over F-M(e). This finite set allows us to calculate Fourier like discrete expansions of an arbitrary discrete function on F-M(e).
dcterms:title
E-Discretization of Tori of Exceptional Compact Simple Lie Groups E-Discretization of Tori of Exceptional Compact Simple Lie Groups
skos:prefLabel
E-Discretization of Tori of Exceptional Compact Simple Lie Groups E-Discretization of Tori of Exceptional Compact Simple Lie Groups
skos:notation
RIV/68407700:21340/10:00179468!RIV12-MSM-21340___
n5:aktivita
n14:Z
n5:aktivity
Z(MSM6840770039)
n5:dodaniDat
n11:2012
n5:domaciTvurceVysledku
n8:1785621
n5:druhVysledku
n20:D
n5:duvernostUdaju
n10:S
n5:entitaPredkladatele
n13:predkladatel
n5:idSjednocenehoVysledku
255744
n5:idVysledku
RIV/68407700:21340/10:00179468
n5:jazykVysledku
n21:eng
n5:klicovaSlova
special functions, interpolation
n5:klicoveSlovo
n7:interpolation n7:special%20functions
n5:kontrolniKodProRIV
[0D86A34C6A17]
n5:mistoKonaniAkce
Białowieza
n5:mistoVydani
Melville, New York
n5:nazevZdroje
XXIX Workshop on Geometric Methods in Physics
n5:obor
n15:BE
n5:pocetDomacichTvurcuVysledku
1
n5:pocetTvurcuVysledku
2
n5:rokUplatneniVysledku
n11:2010
n5:tvurceVysledku
Patera, J. Hrivnák, Jiří
n5:typAkce
n6:WRD
n5:wos
000286908600010
n5:zahajeniAkce
2010-06-27+02:00
n5:zamer
n9:MSM6840770039
s:issn
0094-243X
s:numberOfPages
6
n16:hasPublisher
American Institute of Physics
n18:isbn
978-0-7354-0861-6
n19:organizacniJednotka
21340