Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/17310

Title: Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity
Authors: Garetto, Claudia
Keywords: Algebras of generalized functions
Duality theory
Wave front sets
Issue Date: 2006
Publisher: New York Journal of Mathematics
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.
Abstract: 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.
Description: 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
Sponsor: Supported by FWF (Austria), grant P16820-N04 and TWF (Tyrol), grant UNI-0404/305.
Version: Submitted for publication
URI: https://dspace.lboro.ac.uk/2134/17310
Publisher Link: http://nyjm.albany.edu/nyjm.html
ISSN: 1076-9803
Appears in Collections:Published Articles (Maths)

Files associated with this item:

File Description SizeFormat
0511297v2.pdfSubmitted version411.33 kBAdobe PDFView/Open

 

SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.