{ "id": "1302.3846", "version": "v1", "published": "2013-02-15T18:47:51.000Z", "updated": "2013-02-15T18:47:51.000Z", "title": "On a class of $h$-Fourier integral operators", "authors": [ "Harrat Chahrazed", "Senoussaoui Abderrahmane" ], "categories": [ "math.AP" ], "abstract": "In this paper, we study the $L^{2}$-boundedness and $L^{2}$-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 $0)$.", "revisions": [ { "version": "v1", "updated": "2013-02-15T18:47:51.000Z" } ], "analyses": { "keywords": [ "fourier integral operators", "boundedness", "compactness", "respectively compact", "Fourier integral operators", "pseudodifferential operators", "symbol and phase" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1302.3846C" } } }