{ "id": "1611.07173", "version": "v1", "published": "2016-11-22T07:35:15.000Z", "updated": "2016-11-22T07:35:15.000Z", "title": "A Class of Toeplitz Operators in Several Complex Variables", "authors": [ "D. Fedchenko" ], "categories": [ "math.FA", "math.OA" ], "abstract": "In order to study the Toeplitz algebras related to a Dirac operators in a neighborhood of a closed bounded domain D with smooth boundary in C^n we introduce a singular Cauchy type integral. We compute its principal symbol, thus initiating the index theory.", "revisions": [ { "version": "v1", "updated": "2016-11-22T07:35:15.000Z" } ], "analyses": { "subjects": [ "47B35", "47L80" ], "keywords": [ "toeplitz operators", "complex variables", "singular cauchy type integral", "smooth boundary", "dirac operators" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }