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  • 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. (en)
Title
  • On discretization of tori of compact simple Lie groups: II
  • On discretization of tori of compact simple Lie groups: II (en)
skos:prefLabel
  • On discretization of tori of compact simple Lie groups: II
  • On discretization of tori of compact simple Lie groups: II (en)
skos:notation
  • RIV/68407700:21340/12:00202259!RIV13-MSM-21340___
http://linked.open...avai/riv/aktivita
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  • Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika
  • 25
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  • 156217
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  • RIV/68407700:21340/12:00202259
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  • special functions; discrete orthogonality; interpolation (en)
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  • GB - Spojené království Velké Británie a Severního Irska
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  • [31F766AFF7F7]
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  • Journal of Physics A: Mathematical and Theoretical
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  • 45
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  • Hrivnák, Jiří
  • Patera, J.
  • Motlochová, L.
http://linked.open...ain/vavai/riv/wos
  • 000305395200006
http://linked.open...n/vavai/riv/zamer
issn
  • 1751-8113
number of pages
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  • 10.1088/1751-8113/45/25/255201
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  • 21340
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