3 citations · 7 across the 5 of their papers we have counts for
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Diagonalization of Operator functions by algebraic methods
Matthias Stiefenhofer
We give conditions for local diagonalization of an analytic operator family to a diagonal operator polynomial. The families are acting between real or complex Banach spaces. The ba…
Formal and Analytic Diagonalization of Operator functions
Matthias Stiefenhofer
We give conditions for local diagonalization of analytic operator families acting between real or complex Banach spaces. The transformations are constructed from an operator Toepli…
Fine Resolution of k-transversal Cones
Matthias Stiefenhofer
Tougeron's implicit function theorem and Hensel's lemma are well known representatives concerning 2k-approximation/k-nondegeneracy implying existence of solutions with identity of…
A note on an expansion formula with application to nonlinear DAE's
Matthias Stiefenhofer
In [DL] systems of differential polynomials are investigated with respect to properties of Artin approximation type. The key tool in [DL] is an extended version of a formula by Hur…
An analytic bifurcation principle for Fredholm operators
Matthias Stiefenhofer
Smooth Equations of the form G[z]=0 are investigated in Banach spaces with the aim of continuing the basic solution G[0]=0 to a solution curve of G[z]=0 with the implicit function…
Direct sum condition and Artin Approximation in Banach spaces
Matthias Stiefenhofer
The system of undetermined coefficients of a bifurcation problem G[z]=0 in Banach spaces is investigated for proving the existence of families of solution curves by use of the impl…