%0 Journal Article
%T Uniqueness for the continuous wavelet transform
%A H. -Q. Bui
%A R. S. Laugesen
%J Mathematics
%D 2011
%I arXiv
%X Injectivity of the continuous wavelet transform acting on a square integrable signal is proved under weak conditions on the Fourier transform of the wavelet, namely that it is nonzero somewhere in almost every direction. For a bounded signal (not necessarily square integrable), we show that if the continuous wavelet transform vanishes identically, then the signal must be constant.
%U http://arxiv.org/abs/1103.3317v1