Author:
Bonet José,Galbis Antonio
Abstract
AbstractLet μ ≠ 0 be an ultradistribution of Beurling type with compact support in the space . We investigate the range of the convolution operator Tμ on the space of non-quasianalytic functions of Beurling type associated with a weight w, in the case the operator is not surjective. It is proved that the range of TM always contains the space of real-analytic functions, and that it contains a smaller space of Beurling type for a weight σ ≥ ω if and only if the convolution operator is surjective on the smaller class.
Publisher
Cambridge University Press (CUP)
Reference28 articles.
1. Closed principal ideals in nonradial H�rmander algebras
2. Closed ideals in locally convex algebras;Kelleher;J. reine angew. Math.,1972
Cited by
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