Stability of global wave front sets by perturbations of frames

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Chiara Boiti, David Jornet, Alessandro Oliaro
DOI: 10.48550/arxiv.2601.11364
Cited by: 0

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.

Fields of Study & Subjects

Mathematical Analysis and Transform Methods Mathematical and Theoretical Analysis Numerical methods in inverse problems

Publication details

Journal / source
arXiv (Cornell University)
Publication date
16 January 2026
Document type
Preprint