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RESEARCH PRODUCT
The range of non-surjective convolution operators on Beurling spaces
Antonio GalbisJosé Bonetsubject
Surjective functionDiscrete mathematicsPure mathematicsRange (mathematics)Operator (computer programming)General MathematicsType (model theory)Space (mathematics)Convolution powerMathematicsConvolutiondescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-01-01 | Glasgow Mathematical Journal |