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arxiv: 1704.08167 · v1 · pith:IIEG7ZW4new · submitted 2017-04-26 · 🧮 math.FA

Colombeau algebras without asymptotics

classification 🧮 math.FA
keywords algebrasestimatesasymptoticasymptoticscertaincolombeaucolombeau-typeconstruction
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We present a construction of algebras of generalized functions of Colombeau-type which, instead of asymptotic estimates with respect to a regularization parameter, employs only topological estimates on certain spaces of kernels for its definition.

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