The Walsh-Fourier transform on real line

Author: Ushangi Goginava
Co-authors: Gyorgy Gat, Aleksandre Saatashvili
Keywords: Fourier transforms, dyadic group
Annotation:

The element of the Walsh system, that is the Walsh functions map from the unit interval to the set (-1,1). Then can be extended to the set of nonnegative reals, but not to the whole real line. The aim of this talk is to give an orthonormal and complete functions which can be extended on real line.