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Colombeau algebras without asymptotics
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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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer International Publishing
2017
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6373394/ https://www.ncbi.nlm.nih.gov/pubmed/30828296 http://dx.doi.org/10.1007/s11868-017-0230-z |
| Sumario: | 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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