ON A PROPERTY OF THE REED-MULLER-FOURIER TRANSFORM

The Reed-Muller-Fourier is reviewed and a new property is presented: The Reed-Muller-Fourier transform of an n-place p-valued function preserves any permutation of the arguments. This leads to the additional result that the Reed-Muller-Fourier spectrum of an n-place p-valued symmetric function is also symmetric. Furthermore, the Reed-Muller and the Vilenkin-Chrestenson spectra of an n-place p-valued symmetric function are also symmetric.