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arXiv · 2601.11364

Stability of global wave front sets by perturbations of frames

Chiara Boiti·David Jornet·Alessandro Oliaro
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Abstract

In this paper we consider the Gabor wave front set of ultradistributions in the frame of ultradifferentiable functions. We prove that such a wave front set, defined through a Gabor frame on a regular lattice, is not affected by perturbations of the frame, in two different cases: when we consider $\varepsilon$-perturbations of Christensen type, and when we consider nonstationary Gabor frames.

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Chiara Boiti, David Jornet, Alessandro Oliaro. 2026-01-16. Stability of global wave front sets by perturbations of frames. https://arxiv.org/abs/2601.11364

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