Перегляд за автором "Patera, J."

Сортувати за: Порядок: Результатів:

  • Antisymmetric Orbit Functions 
    Klimyk, A.; Patera, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In the paper, properties of antisymmetric orbit functions are reviewed and further developed. Antisymmetric orbit functions on the Euclidean space En are antisymmetrized exponential functions. Antisymmetrization is fulfilled ...
  • E-Orbit Functions 
    Klimyk, A.U.; Patera, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We review and further develop the theory of E-orbit functions. They are functions on the Euclidean space En obtained from the multivariate exponential function by symmetrization by means of an even part We of a Weyl group ...
  • Image Sampling with Quasicrystals 
    Grundland, M.; Patera, J.; Masáková, Z.; Dodgson, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We investigate the use of quasicrystals in image sampling. Quasicrystals produce space-filling, non-periodic point sets that are uniformly discrete and relatively dense, thereby ensuring the sample sites are evenly spread ...
  • Orbit Functions 
    Klimyk, A.; Patera, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In the paper, properties of orbit functions are reviewed and further developed. Orbit functions on the Euclidean space En are symmetrized exponential functions. The symmetrization is fulfilled by a Weyl group corresponding ...
  • Orthogonality within the families of C-, S-, and E-functions of any compact semisimple Lie group 
    Moody, R.V.; Patera, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The paper is about methods of discrete Fourier analysis in the context of Weyl group symmetry. Three families of class functions are defined on the maximal torus of each compact simply connected semisimple Lie group G. ...