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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