Some Extensions to the Functional Analytic Approach to Colombeau Algebras
نویسنده
چکیده
We extend the functional analytic approach to Colombeautype 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. AMS Mathematics Subject Classification (2010): 46F30
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