Hyperfinite Representation of Distributions

Proceedings Mathematical Sciences

J Sousa Pinto¹  R F Hoskins² 

[1] Departamento de Matemática, Universidade de Aveiro, Aveiro, Portugal$$;Department of Mathematical Sciences, De Montfort University, Leicester, UK$$

关键词: Generalized functions;    Schwartz distributions;    nonstandard analysis;    hyperfinite representations.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown