Contributions to Fourier analysis in Colombeau algebra

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dc.contributor.authorSaidi Tayeb
dc.date.accessioned2022-11-30T10:01:38Z
dc.date.available2022-11-30T10:01:38Z
dc.date.issued2011-10-30
dc.description.abstractThe Present work is a contribution to generalized functions theory founded by G. F. Colom beau. This theory, whose provide a solution to the problem of distributions multiplication, does not stop to be developed in deferent .ends of mathematics generalizing, in this way, a lot of classical results. Our work, although is humble, contributes particularly to the Fourier analysis in the frame work of Colom beau generalized functions. In the .rest chapter, we recall the basic notions of generalized functions theory. In the second chapter, which is our .rest contribution, we give two characterizations of rapidly decreasing generalized functions, one of them uses the Fourier transformation. The third chapter represents our second contribution, it introduces basic elements for devil- opting a micro local analysis in the context of R-regularity of Colom beau generalized function.
dc.formatpdf
dc.identifier.urihttps://dspace.univ-oran1.dz/handle/123456789/1937
dc.language.isofr
dc.publisherUniversité Oran1 Ahmed Ben Bella
dc.subjectSchwartz space
dc.subjectRapidly decreasing generalized functions
dc.subjectColom beau algebra
dc.subjectGeneralized functions
dc.subjectWave front set
dc.subjectMicro local analysis
dc.subjectProduct of distributions
dc.titleContributions to Fourier analysis in Colombeau algebra
grade.ExaminateurMESSIRDI Bekkai, Professeur, Université d’Oran
grade.ExaminateurBOUCHEKIF Mohamed, Professeur, Université de Tlemcen
grade.ExaminateurBENCHOHRA Mouffak, Professeur, Université de Sidi Bel Abbes
grade.ExaminateurMECHAB Mustapha, Professeur, Université de Sidi Bel Abbes
grade.OptionAnalyse Mathématique
grade.PrésidentBEKKAR Mohamed, Professeur, Université d’Oran
grade.RapporteurBOUZAR Chikh, Professeur, Université d’Oran
l'article.1.DateParution2010
l'article.1.RevueCharacterizations of rapidly decreasing generalized functions
l'article.1.RéférenceVol. 25, No. 3, 2010, p. 391-404 . 2010
l'article.1.TitreCommunications of the Korean Mathematical Society
l'article.2.DateParution2011
l'article.2.RevueFourier analysis of generalized functions
l'article.2.RéférenceVol. 22, No. 4-5, 2011, p. 337-344 . 2011
l'article.2.TitreIntegral Transform and Special functions
la.SpécialitéMathématique
la.coteTH3554
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