Two-dimensional symmetric and antisymmetric generalizations of sine functions

@article{Hrivnak2010TwodimensionalSA,
  title={Two-dimensional symmetric and antisymmetric generalizations of sine functions},
  author={Jivr'i Hrivn'ak and Lenka Motlochov{\'a} and Jivr'i Patera},
  journal={Journal of Mathematical Physics},
  year={2010},
  volume={51},
  pages={073509-073509}
}
  • Jivr'i Hrivn'ak, Lenka Motlochová, Jivr'i Patera
  • Published 2010
  • Physics, Mathematics
  • Journal of Mathematical Physics
  • The properties of two-dimensional generalizations of sine functions that are symmetric or antisymmetric with respect to permutations of their two variables are described. It is shown that the functions are orthogonal when integrated over a finite region F of the real Euclidean space, and that they are discretely orthogonal when summed up over a lattice of any density in F. The decomposability of the products of functions into their sums is shown by explicitly decomposing products of all types… CONTINUE READING

    Figures and Tables from this paper.

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 13 CITATIONS

    Discrete Transforms and Orthogonal Polynomials of (Anti)Symmetric Multivariate Cosine Functions

    VIEW 2 EXCERPTS
    CITES BACKGROUND

    Orthogonal Polynomials of Compact Simple Lie Groups

    VIEW 1 EXCERPT
    CITES BACKGROUND

    References

    Publications referenced by this paper.
    SHOWING 1-9 OF 9 REFERENCES