Jiri Hrivnak

Fourier transforms of E-functions of O(5) and G(2)

We discuss the properties of six types of special functions related to the Weyl groups of O(5) and G(2). These functions of two real variables, known as $E-$functions, are generalization of the common exponential functions for each group. The Fourier transforms of these function are described. We focus on discrete transforms on lattices - the symmetries of these lattices are inherited from the groups O(5) and G(2). Examples of application to interpolation are presented.

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		University of Bialystok