. "[9BBD6F1801F2]" . "21340" . "Orbit functions are families of special functions related to the Weyl groups of simple Lie algebras. They are complex functions depending on n variables where n is the rank of the underlying Lie algebra. They possess several remarkable properties, among them a discrete orthogonality when sampled on a lattice fragment of a domain in \u211Dn . This allows applications of orbit functions in processing of digital data. We present a method for an interpolation of discrete functions using the family of so-called S l-function defined by the Weyl group of the Lie algebra B3." . "Cham" . "Hrivn\u00E1k, Ji\u0159\u00ED" . . "6"^^ . "Geometric Methods in Physics" . . . "10.1007/978-3-319-06248-8_22" . "Bia\u0142owie\u017Ca" . . . . . "Interpolation of Multidimensional Digital Data Using Weyl Group Orbit Functions"@en . "2013-06-30+02:00"^^ . . . . "Interpolation of Multidimensional Digital Data Using Weyl Group Orbit Functions" . . "Orbit functions; Fourier transform; interpolation"@en . "I" . "Springer International Publishing AG" . "RIV/68407700:21340/14:00220755" . "H\u00E1kov\u00E1, Lenka" . . . "Interpolation of Multidimensional Digital Data Using Weyl Group Orbit Functions"@en . "22504" . . "2297-0215" . "RIV/68407700:21340/14:00220755!RIV15-MSM-21340___" . "978-3-319-06247-1" . . "2"^^ . "Interpolation of Multidimensional Digital Data Using Weyl Group Orbit Functions" . "Orbit functions are families of special functions related to the Weyl groups of simple Lie algebras. They are complex functions depending on n variables where n is the rank of the underlying Lie algebra. They possess several remarkable properties, among them a discrete orthogonality when sampled on a lattice fragment of a domain in \u211Dn . This allows applications of orbit functions in processing of digital data. We present a method for an interpolation of discrete functions using the family of so-called S l-function defined by the Weyl group of the Lie algebra B3."@en . "2"^^ .