{ "id": "1709.06707", "version": "v1", "published": "2017-09-20T02:40:21.000Z", "updated": "2017-09-20T02:40:21.000Z", "title": "Asymptotics of Chebyshev Polynomials, II. DCT Subsets of $\\mathbb{R}$", "authors": [ "Jacob S. Christiansen", "Barry Simon", "Peter Yuditskii", "Maxim Zinchenko" ], "categories": [ "math.CA" ], "abstract": "We prove Szeg\\H{o}-Widom asymptotics for the Chebyshev polynomials of a compact subset of $\\mathbb{R}$ which is regular for potential theory and obeys the Parreau-Widom and DCT conditions.", "revisions": [ { "version": "v1", "updated": "2017-09-20T02:40:21.000Z" } ], "analyses": { "subjects": [ "41A50", "30E15", "30C10" ], "keywords": [ "chebyshev polynomials", "dct subsets", "asymptotics", "compact subset" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }