Comparison theorem between Fourier transform and Fourier transform with compact support

Christine Huyghe[1]

  • [1] IRMA, UFR de mathématiques Université de Strasbourg 7, rue René Descartes 67084 Strasbourg cedex France

Journal de Théorie des Nombres de Bordeaux (2013)

  • Volume: 25, Issue: 1, page 79-97
  • ISSN: 1246-7405

Abstract

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We prove a comparison theorem between Fourier transform without support and and Fourier transform with compact support in the context of arithmetic 𝒟 -modules.

How to cite

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Huyghe, Christine. "Comparison theorem between Fourier transform and Fourier transform with compact support." Journal de Théorie des Nombres de Bordeaux 25.1 (2013): 79-97. <http://eudml.org/doc/275793>.

@article{Huyghe2013,
abstract = {We prove a comparison theorem between Fourier transform without support and and Fourier transform with compact support in the context of arithmetic $\{\mathcal\{D\}\}$-modules.},
affiliation = {IRMA, UFR de mathématiques Université de Strasbourg 7, rue René Descartes 67084 Strasbourg cedex France},
author = {Huyghe, Christine},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {arithmetic -modules; Fourier Transform},
language = {eng},
month = {4},
number = {1},
pages = {79-97},
publisher = {Société Arithmétique de Bordeaux},
title = {Comparison theorem between Fourier transform and Fourier transform with compact support},
url = {http://eudml.org/doc/275793},
volume = {25},
year = {2013},
}

TY - JOUR
AU - Huyghe, Christine
TI - Comparison theorem between Fourier transform and Fourier transform with compact support
JO - Journal de Théorie des Nombres de Bordeaux
DA - 2013/4//
PB - Société Arithmétique de Bordeaux
VL - 25
IS - 1
SP - 79
EP - 97
AB - We prove a comparison theorem between Fourier transform without support and and Fourier transform with compact support in the context of arithmetic ${\mathcal{D}}$-modules.
LA - eng
KW - arithmetic -modules; Fourier Transform
UR - http://eudml.org/doc/275793
ER -

References

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  3. P. Berthelot, D-modules arithmétiques II descente par Frobenius. Bull. Soc. Math. France, Mémoire 81 (2000), 1–135. Zbl0948.14017
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  8. N. Katz and G. Laumon, Transformation de Fourier et majoration de sommes exponentielles. Publ. Math. I.H.E.S. 62 (1985), 361–418. Zbl0603.14015MR823177
  9. C. Noot-Huyghe, Transformation de Fourier des 𝒟 -modules arithmétiques. I. In Geometric aspects of Dwork theory. Vol. I, II, pages 857–907. Walter de Gruyter GmbH & Co. KG, Berlin, 2004. Zbl1126.14016MR2099091
  10. C. Noot-Huyghe, Finitude de la dimension homologique d’algèbres d’opérateurs différentiels faiblement complètes et à coefficients surconvergents. J. Algebra 307(2) (2007), 499–540. Zbl1111.14006MR2275360
  11. A. VirrionDualité locale et holonomie pour les 𝒟 -modules arithmétiques. Bull. Soc. Math. France, t. 321 (2000), 101–168. Zbl0955.14015MR1765829
  12. A. Virrion, Trace et dualité relative pour les 𝒟 -modules arithmétiques. In Geometric aspects of Dwork theory. Vol. I, II, pages 1039–1112. Walter de Gruyter GmbH & Co. KG, Berlin, 2004. Zbl1083.14017MR2099095

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