2 citations · 10 across the 26 of their papers we have counts for
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Convergence estimates for the Magnus expansion IE. Finite dimensional Banach algebras
Gyula Lakos
We review and provide simplified proofs related to the Magnus expansion, and improve convergence estimates. Observations and improvements concerning the Baker--Campbell--Hausdorff…
On averaged self-distances in finite dimensional Banach spaces
Gyula Lakos
Assume that is a real Banach space of finite dimension . Consider any Borel probability measure supported on the unit ball of . We show t…
The noncommutative heat equation and certain Lie series
Gyula Lakos
We approach the convergence of the Magnus, Wilcox, and symmetric Wilcox expansions by a non-commutative heat equation derived from the Maurer-Cartan equation.
The Dynkin-Specht-Wever lemma and some associated constructions
Gyula Lakos
In the first part of the paper, some extensions of the classical Dynkin-Specht-Wever lemma are developed. In the second part, we extend Burgunder's splitting construction, and rela…
The symmetric Poincaré-Birkhoff-Witt theorem and Dynkin-Magnus commutators
Gyula Lakos
The objective of this paper is to give alternative proofs for the symmetric Poincaré-Birkhoff-Witt theorem utilizing the Magnus recursion formulae or Dynkin's non-commutative polyn…