# A Paley-Wiener type theorem for generalized non-quasianalytic classes

Studia Mathematica (2012)

- Volume: 208, Issue: 1, page 31-46
- ISSN: 0039-3223

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topJordi Juan-Huguet. "A Paley-Wiener type theorem for generalized non-quasianalytic classes." Studia Mathematica 208.1 (2012): 31-46. <http://eudml.org/doc/285625>.

@article{JordiJuan2012,

abstract = {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.},

author = {Jordi Juan-Huguet},

journal = {Studia Mathematica},

keywords = {non-quasianalytic classes; iterates of an operator; Paley-Wiener theorem; nuclear space},

language = {eng},

number = {1},

pages = {31-46},

title = {A Paley-Wiener type theorem for generalized non-quasianalytic classes},

url = {http://eudml.org/doc/285625},

volume = {208},

year = {2012},

}

TY - JOUR

AU - Jordi Juan-Huguet

TI - A Paley-Wiener type theorem for generalized non-quasianalytic classes

JO - Studia Mathematica

PY - 2012

VL - 208

IS - 1

SP - 31

EP - 46

AB - 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.

LA - eng

KW - non-quasianalytic classes; iterates of an operator; Paley-Wiener theorem; nuclear space

UR - http://eudml.org/doc/285625

ER -

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