Uniqueness for the continuous wavelet transform
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Publication:2910615
zbMATH Open1247.42036arXiv1103.3317MaRDI QIDQ2910615
Author name not available (Why is that?)
Publication date: 11 September 2012
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1103.3317
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