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A nonstandard definition of finite order ultradistributions

  • J. Sousa Pinto
  • R. F. Hoskins
Article

Abstract

Taking into account that finite-order ultradistributions are inverse Fourier transforms of finite-order distributions a nonstandard representation is obtained for one-dimensional finite-order ultradistributions.

Keywords

Distributions ultradistributions nonstandard analysis 
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References

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    Zieleźny Z, On Infinite Derivatives of Continuous Functions,Studia Math. XXIV (1964) 311–351Google Scholar

Copyright information

© Indian Academy of Sciences 1999

Authors and Affiliations

  • J. Sousa Pinto
    • 1
  • R. F. Hoskins
    • 1
    • 2
  1. 1.Departamento de MatemáticaUniversidade de AveiroAveiroPortugal
  2. 2.Mathematics DepartmentDe Montfort UniversityLeicesterUK

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