On a class of h-Fourier integral operators

2013/02/15 by Chahrazed Harrat, Chahrazed, Harrat, Abderrahmane Senoussaoui +1
Mathematics · #$h$-Fourier integral operators #$h$-pseudodifferential operators #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #symbol and phase

paper · pdf · doi:10.48550/arxiv.1302.3846

openalex publication_date 2013/02/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the L²-boundedness and L²-compactness of a class of h-Fourier integral operators. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to 0).

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