Discrete Wave-front sets of Fourier Lebesgue and modulation space types

2009/09/07 by Karoline Johansson, Stevan Pilipović, Johansson, Karoline +5
Mathematics · #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical functions and polynomials #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.0909.1237

openalex publication_date 2009/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce discrete wave-front sets with respect to Fourier Lebesgue and modulation spaces. We prove that these wave-front sets agree with corresponding wave-front sets of "continuous type".

Related

• Wave-front sets in non-quasianalytic setting for Fourier Lebesgue and modulation spaces
• Micro-local analysis in some spaces of ultradistributions
• Wave front sets with respect to Banach spaces of ultradistributions.\n Characterisation via the short-time Fourier transform
• Wave-front sets of Banach function types
• Micro-local analysis in Fourier Lebesgue and modulation spaces. Part I