Roumieu Type Tempered Ultradistributions and Fourier Hyperfunctions
In  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.  and ). These spaces are also topologically automorphic to themselves through the Fourier transformation.
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- A.Kaneko, Introduction à la Théorie des Hyperfonctions I, II, Cours de DEA, Université de Grenoble (1978).Google Scholar
- H.Komatsu, Microlocal Analysis in Gevrey Classes and in Convex Domain, Springer, Lect. Not. Math. 1726 (1989), 426–493.Google Scholar
- D. Kovačevié and S. Pilipović, Structural properties of the space of tempered ultradistributions, Proc. Conf. “Complex Analysis and Generalized Functions”, Varna 1991, 169–184.Google Scholar