{ "id": "1006.5091", "version": "v1", "published": "2010-06-26T02:06:21.000Z", "updated": "2010-06-26T02:06:21.000Z", "title": "Functional Equations and Fourier Analysis", "authors": [ "Dilian Yang" ], "comment": "8 pages, to appear in CMB", "categories": [ "math.FA" ], "abstract": "By exploring the relations among functional equations, harmonic analysis and representation theory, we give a unified and very accessible approach to solve three important functional equations -- the d'Alembert equation, the Wilson equation, and the d'Alembert long equation, on compact groups.", "revisions": [ { "version": "v1", "updated": "2010-06-26T02:06:21.000Z" } ], "analyses": { "keywords": [ "fourier analysis", "dalembert long equation", "important functional equations", "representation theory", "wilson equation" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1006.5091Y" } } }