Wave front sets with respect to Banach spaces of ultradistributions.\n Characterisation via the short-time Fourier transform

2018/01/31 by Павел Димовски, Dimovski, Pavel, Bojan Prangoski +1
Mathematics · #35A18 #42B10 #46F05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1801.10358

openalex publication_date 2018/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define ultradistributional wave front sets with respect to\ntranslation-modulation invariant Banach spaces of ultradistributions having\nsolid Fourier image. The main result is their characterisation by the\nshort-time Fourier transform.\n

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