[Un théorème de comparaison entre la transformation de Radon et Fourier-Laplace pour les D-modules]
Nous démontrons un théorème de comparaison entre la transformation de Radon et la transformation de Fourier-Laplace pour les -modules. Ceci généralise des resultats de Brylinski et de d’Agnolo-Eastwood.
We prove a comparison theorem between the -plane Radon transform and the Fourier-Laplace transform for -modules. This generalizes results of Brylinski and d’Agnolo-Eastwood.
Keywords: $\mathcal{D}$-modules, Radon transform, Fourier-Laplace transform
Mot clés : $\mathcal{D}$-modules, transformation de Radon, transformation de Fourier-Laplace
@article{AIF_2015__65_4_1577_0,
author = {Reichelt, Thomas},
title = {A comparison theorem between {Radon} and {Fourier-Laplace} transforms for {D-modules}},
journal = {Annales de l'Institut Fourier},
pages = {1577--1616},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {65},
number = {4},
year = {2015},
doi = {10.5802/aif.2968},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.2968/}
}
TY - JOUR AU - Reichelt, Thomas TI - A comparison theorem between Radon and Fourier-Laplace transforms for D-modules JO - Annales de l'Institut Fourier PY - 2015 SP - 1577 EP - 1616 VL - 65 IS - 4 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2968/ DO - 10.5802/aif.2968 LA - en ID - AIF_2015__65_4_1577_0 ER -
%0 Journal Article %A Reichelt, Thomas %T A comparison theorem between Radon and Fourier-Laplace transforms for D-modules %J Annales de l'Institut Fourier %D 2015 %P 1577-1616 %V 65 %N 4 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2968/ %R 10.5802/aif.2968 %G en %F AIF_2015__65_4_1577_0
Reichelt, Thomas. A comparison theorem between Radon and Fourier-Laplace transforms for D-modules. Annales de l'Institut Fourier, Tome 65 (2015) no. 4, pp. 1577-1616. doi : 10.5802/aif.2968. http://www.numdam.org/articles/10.5802/aif.2968/
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