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  • The properties of the four families of special functions of three real variables, called here C-, S-, S^s- and S^l-functions, are studied. The S^s- and S^l-functions are considered in all details required for their exploitation in Fourier expansions of digital data, sampled on finite fragment of lattices of any density and of the 3D symmetry imposed by the weight lattices of B_3 and C_3 simple Lie algebras/groups. The continuous interpolations, which are induced by the discrete expansions, are exemplified and compared for some model functions.
  • The properties of the four families of special functions of three real variables, called here C-, S-, S^s- and S^l-functions, are studied. The S^s- and S^l-functions are considered in all details required for their exploitation in Fourier expansions of digital data, sampled on finite fragment of lattices of any density and of the 3D symmetry imposed by the weight lattices of B_3 and C_3 simple Lie algebras/groups. The continuous interpolations, which are induced by the discrete expansions, are exemplified and compared for some model functions. (en)
Title
  • Four families of Weyl group orbit functions of B_3 and C_3
  • Four families of Weyl group orbit functions of B_3 and C_3 (en)
skos:prefLabel
  • Four families of Weyl group orbit functions of B_3 and C_3
  • Four families of Weyl group orbit functions of B_3 and C_3 (en)
skos:notation
  • RIV/68407700:21340/13:00209972!RIV14-MSM-21340___
http://linked.open...avai/riv/aktivita
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  • Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika
  • 8
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  • 75605
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  • RIV/68407700:21340/13:00209972
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  • interpolation; Weyl groups; special functions (en)
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  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [1807F89F055B]
http://linked.open...i/riv/nazevZdroje
  • Journal of Mathematical Physics
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  • 54
http://linked.open...iv/tvurceVysledku
  • Hrivnák, Jiří
  • Patera, J.
  • Háková, Lenka
http://linked.open...ain/vavai/riv/wos
  • 000323944900039
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-2488
number of pages
http://bibframe.org/vocab/doi
  • 10.1063/1.4817340
http://localhost/t...ganizacniJednotka
  • 21340
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