{ "id": "1910.04577", "version": "v1", "published": "2019-10-09T06:17:50.000Z", "updated": "2019-10-09T06:17:50.000Z", "title": "On Gelfand-Shilov spaces of type $W$", "authors": [ "I. Kh. Musin" ], "comment": "arXiv admin note: text overlap with arXiv:1703.04326", "categories": [ "math.FA" ], "abstract": "Spaces of infinitely differentiable functions on ${\\mathbb R}^n$ (more general than Gelfand-Shilov spaces of type $W_M$) are considered in the article. Paley-Wiener type theorems are obtained.", "revisions": [ { "version": "v1", "updated": "2019-10-09T06:17:50.000Z" } ], "analyses": { "subjects": [ "32A15", "42B10", "46E10", "46F05", "42A38" ], "keywords": [ "gelfand-shilov spaces", "paley-wiener type theorems", "infinitely differentiable functions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }