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  • 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 ℝn . 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.
  • 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 ℝn . 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)
Title
  • Interpolation of Multidimensional Digital Data Using Weyl Group Orbit Functions
  • Interpolation of Multidimensional Digital Data Using Weyl Group Orbit Functions (en)
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  • Interpolation of Multidimensional Digital Data Using Weyl Group Orbit Functions
  • Interpolation of Multidimensional Digital Data Using Weyl Group Orbit Functions (en)
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  • RIV/68407700:21340/14:00220755!RIV15-MSM-21340___
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  • 22504
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  • RIV/68407700:21340/14:00220755
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  • Orbit functions; Fourier transform; interpolation (en)
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  • [9BBD6F1801F2]
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  • Geometric Methods in Physics
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  • Hrivnák, Jiří
  • Háková, Lenka
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issn
  • 2297-0215
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  • 10.1007/978-3-319-06248-8_22
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  • Springer International Publishing AG
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  • 978-3-319-06247-1
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  • 21340
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