Title: A group representation related to the Stockwell transform

Authors: P. Boggiatto, C. Fernandez and A. Galbis

Issue: Volume 58 (2009), Issue 5, 2277-2296

Abstract: We obtain a group structure admitting an irreducible and integrable representation on a Hilbert space with the property that the corresponding wavelet transform coincides with the Stockwell transform. The group is constructed in a similar way to the Weyl-Heisenberg group but it is not unimodular and it contains the affine group as a subgroup. The obtained results are coherent with the fact that the Stockwell transform is a hybrid of the Gabor and the wavelet transforms.