Valmorin, Vincent Some topological properties of the algebra of generalized hyperfunctions on the circle. (English) Zbl 1013.46031 Novi Sad J. Math. 30, No. 1, 109-121 (2000). The author introduces an invariant ultrametric distance in the differential algebra \(H(T)\) of generalized hyperfunctions on the unit circle \(T\). For the induced topology he shows that addition and multiplication are continuous maps. It is also shown that the inversion is a continuous endomorphism of the group of invertible elements of \(H(T)\). Several additional properties of \(H(T)\) are established. Reviewer: Miroljub Jevtić (Beograd) Cited in 1 Document MSC: 46F15 Hyperfunctions, analytic functionals Keywords:ultrametric distance; differential algebra of generalized hyperfunctions; induced topology; inversion PDFBibTeX XMLCite \textit{V. Valmorin}, Novi Sad J. Math. 30, No. 1, 109--121 (2000; Zbl 1013.46031) Full Text: EuDML