In recent papers, Flandrin [2015], Bardenet, Flamant, Chainais [2017] discuss filtering based on the zeros of a spectrogram, using the short-time Fourier transform and a Gaussian window. These results are based on empirical observations on the distribution of the zeros of the spectrogram of white Gaussian noise. These considerations involve the Bargmann transform, white noise and Gaussian analytic functions.
The purpose of this talk is to generalise the setting into Clifford analysis. We discuss Clifford white noise and monogenic white noise. Further, we consider Clifford Gaussian functions which need not be monogenic but serve as the analogue of Gaussian analytic functions.