A Paley-Wiener type theorem for generalized non-quasianalytic classes
Jordi Juan-Huguet
Studia Mathematica, Tome 209 (2012), p. 31-46 / Harvested from The Polish Digital Mathematics Library
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Let P be a hypoelliptic polynomial. We consider classes of ultradifferentiable functions with respect to the iterates of the partial differential operator P(D) and prove that such classes satisfy a Paley-Wiener type theorem. These classes and the corresponding test spaces are nuclear.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:285625 
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Jordi Juan-Huguet. A Paley-Wiener type theorem for generalized non-quasianalytic classes. Studia Mathematica, Tome 209 (2012) pp. 31-46. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm208-1-3/