Some Extensions to the Functional Analytic Approach to Colombeau Algebras

نویسنده

  • Eduard A. Nigsch
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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تاریخ انتشار 2015