6 citations · 13 across the 10 of their papers we have counts for
10 papers
Duality of Bochner spaces
Seppo I. Hiltunen
We construct the generalized Lebesgue--Bochner spaces for positive measures and for suitable real or complex topological vector spaces so that for $1<p…
Real analyticity of composition is shy
Seppo I. Hiltunen
Dahmen and Schmeding have obtained the result that although the smooth Lie group of real analytic diffeomorphisms has a compatible analyti…
The Frolicher--Kriegl differentiabilities as a particular case of the Bertram--Glockner--Neeb construction
Seppo I. Hiltunen
We prove that the order differentiability classes for in the "arc-generated" interpretation of the Lipschitz theory of differentiation by Frolicher and Kriegl…
On Yamamuro's inverse and implicit function theorems in terms of calibrations
Seppo I. Hiltunen
For the Frechet space E=C^{\infty}(S^1) and for a smooth ϕ: R to R, we prove that the associated map E to E given by x mapstoϕ\circ x satisfies the continuous BΓ--differentiability…
Seip's differentiability concepts as a particular case of the Bertram--Gloeckner--Neeb construction
Seppo I. Hiltunen
From the point of view of unification of differentiation theory, it is of interest to note that the general construction principle of Bertram, Gloeckner and Neeb leading to a C^k d…
An inverse function theorem for Colombeau tame Frolicher-Kriegl maps
Seppo I. Hiltunen
For k=1,2,... infty and a Frolicher-Kriegl order k Lipschitz differentiable map f:E supseteq U to E having derivative at x_0 in U a linear homeomorphism E to E and satisfying a Col…