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Hyperfinite representation of distributions
Authors:J. Sousa Pinto  R. F. Hoskins
Affiliation:(1) Departamento de Matem’atica, Universidade de Aveiro, Aveiro, Portugal;(2) Department of Mathematical Sciences, De Montfort University, Leicester, UK
Abstract:Hyperfinite representation of distributions is studied following the method introduced by Kinoshita [2,3], although we use a different approach much in the vein of [4]. Products and Fourier transforms of representatives of distributions are also analysed.
Keywords:Generalized functions  Schwartz distributions  nonstandard analysis  hyperfinite representations
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