On the Wiener-Laguerre transformation

• Hans Jürgen Glaeske Friedrich-Schiller-Universit í¤t-Alemania

Abstract

In this paper we investigate a discrete integral transformation on the real line, which, with respect to the convolution structure, is better adapted than the discrete Hermite transformation, introduced by Debnath. The kernels are complex-valued rational functions which are the Fourier transforms of the Laguerre polynomials and which were introduced by N. Wiener. Some remarks about a real version, following a paper of Christov are added.