Gabor wave front sets of ultradistributions are invariant under ε-perturbations of Christensen type and nonstationary Gabor frames.
Gr¨ ochenig,Foundations of Time-Frequency Analysis, Birkh¨ auser, Boston (2001)
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Stability of global wave front sets by perturbations of frames
Gabor wave front sets of ultradistributions are invariant under ε-perturbations of Christensen type and nonstationary Gabor frames.