Three variable exponential functions of the alternating group
  New class of special functions of three real variables, based on the alternating subgroup of the permutation group $S_3$, is studied. These functions are used for Fourier-like expansion of digital data given on lattice of any density and general position. Such functions have only trivial analogs in one and two variables; a connection to the $E-$functions of $C_3$ is shown. Continuous interpolation of the three dimensional data is studied and exemplified. 
Ji\v{r}\'i Hrivn\'ak, Ji\v{r}\'i Patera, Severin Po\v{s}ta
math-ph math.MP