46 citations · 92 across the 21 of their papers we have counts for
5 papers · 1 filter
General Dirichlet series, arithmetic convolution equations and Laplace transforms
Helge Glockner, Lutz G. Lucht, Stefan Porubsky
In an earlier paper, we studied solutions g to convolution equations of the form a_d*g^{*d}+a_{d-1}*g^{*(d-1)}+...+a_1*g+a_0=0, where a_0, ..., a_d are given arithmetic functions a…
Simplified Proofs for the Pro-Lie Group Theorem and the One-Parameter Subgroup Lifting Lemma
Helge Glockner
This note is devoted to the theory of projective limits of finite-dimensional Lie groups, as developed in the recent monograph ``The Lie Theory of Connected Pro-Lie Groups'' by K.H…
Contractible Lie groups over local fields
Helge Glockner
Let G be a Lie group over a local field of positive characteristic which admits a contractive automorphism f (i.e., the forward iterates f^n(x) of each group element x converge to…
Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus
Helge Glockner
Paradigms of bilinear maps f between locally convex spaces (like evaluation or composition) are not continuous, but merely hypocontinuous. We describe situations where, nonetheless…
Instructive examples of smooth, complex differentiable and complex analytic mappings into locally convex spaces
Helge Glockner
For each positive integer k, we describe a map f from the complex plane to a suitable non-complete complex locally convex space such that f is k times continuously complex differen…