Comparisons between Fourier and STFT multipliers: the smoothing effect of the Short-time Fourier Transform

Peter Balazs, Federico Bastianoni, Elena Cordero +2

We study the connection between STFT multipliers $A_{1\otimes m}^{g_1,g_2}$ having windows $g_1,g_2$, symbols $a(x,\omega )=(1\otimes m)(x,\omega )=m(\omega )$, $(x,\omega )\in {\mathbb{R}}^{2d}$, and the Fo…