Geodesic
Some extensions to the functional analytic approach to Colombeau algebras
Novi Sad Journal of Mathematics, Tome 45 (2015) no. 1 Cet article a éte moissonné depuis la source Novi sad journal of mathematics website

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We extend the functional analytic approach to Colombeau-type spaces of nonlinear generalized functions in order to study algebras of tempered generalized functions. We obtain a definition of Fourier transform of nonlinear generalized functions which has a strict inversion theorem, agrees with the classical Fourier transform for tempered distributions and preserves well-known classical properties.
Publié le :
DOI : 10.30755/NSJOM.GF14.03
Classification : 46F30
Keywords: Colombeau algebra, tempered generalized function, Fourier transform 
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     author = {Eduard A. Nigsch},
     title = {Some extensions to  the functional analytic approach to  {Colombeau} algebras},
     journal = {Novi Sad Journal of Mathematics},
     pages = {231 - 240},
     year = {2015},
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     number = {1},
     doi = {10.30755/NSJOM.GF14.03},
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Eduard A. Nigsch. Some extensions to  the functional analytic approach to  Colombeau algebras. Novi Sad Journal of Mathematics, Tome 45 (2015) no. 1. doi: 10.30755/NSJOM.GF14.03

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