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Here, we present the basic ideas behind Colombeau-type algebras and present the notion of “asymptotic scales” to construct such algebras. We present the case of ultradifferentiables and conditions of comparison of regularities between generalized functions and ultradistributions with which they are strongly associated.

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Colombeau Type Extensions, Assymptotic Scales

  • 会议论文

  • 发表日期：

    2025年

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  • Dimitris Scarpalezos

摘要

Here, we present the basic ideas behind Colombeau-type algebras and present the notion of “asymptotic scales” to construct such algebras. We present the case of ultradifferentiables and conditions of comparison of regularities between generalized functions and ultradistributions with which they are strongly associated.