{ "id": "2306.14000", "version": "v1", "published": "2023-06-24T15:18:34.000Z", "updated": "2023-06-24T15:18:34.000Z", "title": "Algebras of Hausdorff Operators on the Real Line", "authors": [ "E. Liflyand", "A. Mirotin" ], "journal": "Journal of Mathematical Sciences (2023)", "doi": "10.1007/s10958-023-06275-7", "categories": [ "math.FA" ], "abstract": "The aim of this work is to derive a symbol calculus on $L^2(\\mathbb{R})$ for one-dimensional Hausdorff operators in apparently the most general form.", "revisions": [ { "version": "v1", "updated": "2023-06-24T15:18:34.000Z" } ], "analyses": { "subjects": [ "46B25", "42A38", "30A99" ], "keywords": [ "real line", "one-dimensional hausdorff operators", "symbol calculus", "general form" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }