6 citations · 9 across the 5 of their papers we have counts for
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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…
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…
On an assertion about Nash--Moser applications
Seppo I Hiltunen
By an example we show that Olaf Mueller's assertion about his new theorems being able to give anew some classical results previously obtained via applications of Nash--Moser type t…
On the definition of some Banach spaces over bounded domains with irregular boundary
Seppo I Hiltunen
This note aims to clarify the interrelations of certain inequivalently defined Banach spaces denoted by C^i(\barΩ) for a natural number i and a bounded open set Ω. We give some suf…
Differentiation, implicit functions, and applications to generalized well-posedness
Seppo I Hiltunen
This article is centered around generalizing a previous implicit function theorem of the author to be applicable for maps f:E sqcap F to F which can be lifted to Keller C^k_pi maps…