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Theory of hypernumbers and extrafunctions: functional spaces and differentiation - MaRDI portal

Theory of hypernumbers and extrafunctions: functional spaces and differentiation (Q1777569)

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scientific article; zbMATH DE number 2170723
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English
Theory of hypernumbers and extrafunctions: functional spaces and differentiation
scientific article; zbMATH DE number 2170723

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    Theory of hypernumbers and extrafunctions: functional spaces and differentiation (English)
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    23 May 2005
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    The author continues his study of hypernumbers and extrafunctions [cf., e.g., \textit{M. Burgin}, in: Lecture Notes in Pure and Applied Mathematics 238, 81--117 (2004; Zbl 1094.46508)]. After repeating the basic definitions of the theory, the main focus is on the concept of extraderivatives, which are derivatives of extrafunctions defined by bisequences of difference quotients. Some basic properties of extraderivatives are studied.
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    hypernumbers
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    extrafunctions
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    extraderivatives
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