| Issue |
ESAIM: Proc.
Volume 46, November 2014
ECIT 2012, 19th European Conference on Iteration Theory
|
|
|---|---|---|
| Page(s) | 14 - 22 | |
| DOI | https://doi.org/10.1051/proc/201446002 | |
| Published online | 05 December 2014 | |
The Pilgerschritt (Liedl) transform
Institute of Mathematics, University
of Innsbruck, Austria
The Pilgerschritt transform was introduced by Roman Liedl, Innsbruck, in the late seventies of the last century. He came up with the idea for this transform after studies of the Volterra product integral and dealing with questions in iteration theory. This paper will show up the main ideas, the achieved results, a lot of open problems and some closely related ideas which followed later on.
Résumé
La “Pilgerschritt Transformation” (“transformation pas du pèlerin”) a été introduite par Roman Liedl, Innsbruck, à la fin des années 70 du siècle passé. Il avait l’ idée après avoir etudié l’ intégrale multiplicative de Volterra et avoir traité des questions en théorie de l’ itération. Cet article montre les idées principales, les résultats, une multitude de questions ouvertes et quelques idées étroitement liées apparues ultérieurement.
Mathematics Subject Classification: 22E30 / 37C10 / 53B20
Key words: product / integral / Pilgerschritt transform / one parameter groups / homomorphism / Lie groups / geodesic lines
Mots clés : intégrale multiplicative / transformation Pilgerschritt / sous-groupe à un paramètre / homomorphisme / groupe de Lie / géodsique
© EDP Sciences, SMAI 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.