{ "id": "2012.10368", "version": "v1", "published": "2020-12-18T17:17:58.000Z", "updated": "2020-12-18T17:17:58.000Z", "title": "Basis properties of Fucik eigenfunctions", "authors": [ "Falko Baustian", "Vladimir Bobkov" ], "comment": "24 pages, 7 figures", "categories": [ "math.CA", "math.SP" ], "abstract": "We establish sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in $L^2(0,\\pi)$.", "revisions": [ { "version": "v1", "updated": "2020-12-18T17:17:58.000Z" } ], "analyses": { "subjects": [ "34L10", "34B25", "34B08", "47A70" ], "keywords": [ "basis properties", "corresponding fucik eigenfunctions form", "riesz basis", "fucik eigenvalues", "establish sufficient assumptions" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable" } } }