{ "id": "math/0612575", "version": "v1", "published": "2006-12-20T02:07:19.000Z", "updated": "2006-12-20T02:07:19.000Z", "title": "On the Fourier analysis of operators on the torus", "authors": [ "Michael Ruzhansky", "Ville Turunen" ], "journal": "Modern trends in pseudo-differential operators, 87--105, Oper. Theory Adv. Appl., 172, Birkhauser, Basel, 2007.", "categories": [ "math.FA", "math.AP" ], "abstract": "Basic properties of Fourier integral operators on the torus are studied by using the global representations by Fourier series instead of local representations. The results can be applied to weakly hyperbolic partial differential equations.", "revisions": [ { "version": "v1", "updated": "2006-12-20T02:07:19.000Z" } ], "analyses": { "subjects": [ "35L40", "58J40" ], "keywords": [ "fourier analysis", "weakly hyperbolic partial differential equations", "fourier series", "fourier integral operators", "basic properties" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....12575R" } } }