{ "id": "2104.13153", "version": "v1", "published": "2021-04-27T12:59:37.000Z", "updated": "2021-04-27T12:59:37.000Z", "title": "Approximation by Lipschitz functions", "authors": [ "L. A. Coburn" ], "categories": [ "math.FA" ], "abstract": "On any metric space, I provide an intrinsic characterization of those complex-valued functions which are uniform limits of Lipschitz functions. There are applications to function theory on complete Riemannian manifolds and, in particular, on bounded symmetric domains in complex Euclidean space.", "revisions": [ { "version": "v1", "updated": "2021-04-27T12:59:37.000Z" } ], "analyses": { "keywords": [ "lipschitz functions", "approximation", "complex euclidean space", "complete riemannian manifolds", "intrinsic characterization" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }