{ "id": "1503.08600", "version": "v1", "published": "2015-03-30T08:58:37.000Z", "updated": "2015-03-30T08:58:37.000Z", "title": "On orthogonal systems of shifts of scaling function on local fields of positive characteristic", "authors": [ "Gleb Berdnikov", "Iuliia Kruss", "Sergey Lukomskii" ], "categories": [ "math.NT" ], "abstract": "We present a new method for constructing an orthogonal step scaling function on local fields of positive characteristic, which generates multiresolution analysis.", "revisions": [ { "version": "v1", "updated": "2015-03-30T08:58:37.000Z" } ], "analyses": { "subjects": [ "42C40", "43A25" ], "keywords": [ "local fields", "positive characteristic", "orthogonal systems", "orthogonal step scaling function", "generates multiresolution analysis" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }