Roumieu Type Tempered Ultradistributions and Fourier Hyperfunctions

  • Atsuhiko Eida
  • Stevan Pilipović
Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 7)


In [7] we studied spaces of tempered ultradifferential functions and tempered ultradistributions which are globally expressed for the usage of Fourier transforms on R n . These spaces S *, S '* are topologically automorphic to themselves through the Fourier transformation. On the other hand, Kawai and Kaneko have introduced the spaces of Fourier hyperfunctions which are homologically constructed on D n , the compactification of R n to the infinity (cf. [3] and [9]). These spaces are also topologically automorphic to themselves through the Fourier transformation.


Convolution Novi 


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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Atsuhiko Eida
    • 1
  • Stevan Pilipović
    • 2
  1. 1.Faculty of Engineering ScienceTokyo University of TechnologyHachioji TokyoJapan
  2. 2.Institute of MathematicsUniversity of Novi SadNovi SadYugoslavia

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