A New Approach to Temperate Generalized Colombeau Functions
نویسنده
چکیده
A new approach to the algebra Gτ of temperate nonlinear generalized functions is proposed, in which Gτ is based on the space OM endowed with is natural topology in contrary to previous constructions. Thus, this construction fits perfectly in the general scheme of construction of Colombeau type algebras and reveals better properties of Gτ . This is illustrated by the natural introduction of a regularity theory in Gτ , of the Fourier transform, with the definition of GO′ C , the space of rapidly generalized distributions which is the Fourier image of Gτ .
منابع مشابه
A new approach to temperate generalized functions
A new approach to the algebra Gτ of temperate nonlinear generalized functions is proposed, in which Gτ is based on the space OM endowed with is natural topology in contrary to previous constructions. Thus, this construction fits perfectly in the general scheme of construction of Colombeau type algebras and reveals better properties of Gτ . This is illustrated by the natural introduction of a re...
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