{ "id": "1210.2079", "version": "v1", "published": "2012-10-07T17:23:20.000Z", "updated": "2012-10-07T17:23:20.000Z", "title": "Convergence of multiple Fourier series of functions of bounded generalized variation", "authors": [ "Ushangi Goginava", "Artur Sahakian" ], "categories": [ "math.AP" ], "abstract": "The paper introduces a new concept of $\\Lambda $-variation of multivariable functions and investigates its connection with the convergence of multidimensional Fourier series", "revisions": [ { "version": "v1", "updated": "2012-10-07T17:23:20.000Z" } ], "analyses": { "subjects": [ "42B05" ], "keywords": [ "multiple fourier series", "bounded generalized variation", "convergence", "multidimensional fourier series", "multivariable functions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1210.2079G" } } }