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Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity

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journal contribution
posted on 2015-04-20, 10:47 authored by Claudia Garetto
We introduce different notions of wave front set for the functionals in the dual of the Colomboau algebra script G signc(Ω) providing a way to measure the script G sign and the script G sign∞ - regularity in ℒ(script G signc(Ω),ℂ̃). For the smaller family of functional having a "basic structure" we obtain a Fourier transform-characterization for this type of generalized wave front sots and results of noncharacteristic script G sign and script G sign ∞-regularity.

Funding

Supported by FWF (Austria), grant P16820-N04 and TWF (Tyrol), grant UNI-0404/305.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

New York Journal of Mathematics

Volume

12

Pages

275 - 318

Citation

GARETTO, C., 2006. Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity. New York Journal of Mathematics, 12, pp. 275 - 318.

Publisher

New York Journal of Mathematics

Version

  • SMUR (Submitted Manuscript Under Review)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2006

Notes

This article was published in the New York Journal of Mathematics and the definitive version is available at: http://nyjm.albany.edu/j/2006/12-18v.pdf

ISSN

1076-9803

eISSN

1076-9803

Language

  • en

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