A group representation related to the Stockwell transform P. BoggiattoC. FernandezA. Galbis 42B3542C4047G1043A32Stockwell transformsquare integrable group representationscontinuous framestime-frequency analysis 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. Indiana University Mathematics Journal 2009 text pdf 10.1512/iumj.2009.58.3670 10.1512/iumj.2009.58.3670 en Indiana Univ. Math. J. 58 (2009) 2277 - 2296 state-of-the-art mathematics http://iumj.org/access/