Geodesic
A Paley–Wiener type theorem for generalized non-quasianalytic classes
Jordi Juan-Huguet 1
1 Departament de Didàctica de la Matemàtica Universitat de València Avda. Tarongers, 4 46022 València, Spain
Studia Mathematica, Tome 208 (2012) no. 1, pp. 31-46 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm208-1-3
Keywords: hypoelliptic polynomial consider classes ultradifferentiable functions respect iterates partial differential operator prove classes satisfy paley wiener type theorem these classes corresponding test spaces nuclear

Jordi Juan-Huguet  1

1 Departament de Didàctica de la Matemàtica Universitat de València Avda. Tarongers, 4 46022 València, Spain 
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Jordi Juan-Huguet. A Paley–Wiener type theorem for generalized non-quasianalytic classes. Studia Mathematica, Tome 208 (2012) no. 1, pp. 31-46. doi: 10.4064/sm208-1-3

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