Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse
José Bonet ; Reinhold Meise
Studia Mathematica, Tome 187 (2008), p. 49-77 / Harvested from The Polish Digital Mathematics Library
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Extending previous work by Meise and Vogt, we characterize those convolution operators, defined on the space (ω)(ℝ) of (ω)-quasianalytic functions of Beurling type of one variable, which admit a continuous linear right inverse. Also, we characterize those (ω)-ultradifferential operators which admit a continuous linear right inverse on (ω)[a,b] for each compact interval [a,b] and we show that this property is in fact weaker than the existence of a continuous linear right inverse on (ω)(ℝ).

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:284390 
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José Bonet; Reinhold Meise. Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse. Studia Mathematica, Tome 187 (2008) pp. 49-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm184-1-3/