37 citations · 48 across the 5 of their papers we have counts for
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math.CA1998
Choosing roots of polynomials smoothly
Dmitri Alekseevsky, Andreas Kriegl, Mark Losik +1
We clarify the question whether for a smooth curve of polynomials one can choose the roots smoothly and related questions. Applications to perturbation theory of operators are give…
math.DG1998★ 37 cited
Regular infinite dimensional Lie groups
Andreas Kriegl, Peter W. Michor
Regular Lie groups are infinite dimensional Lie groups with the property that smooth curves in the Lie algebra integrate to smooth curves in the group in a smooth way (an `evolutio…