53 citations · 53 across the 1 of their papers we have counts for
3 papers
math.SP2012★ 53 cited
Laplace Operators on Fractals and Related Functional Equations
Gregory Derfel, Peter Grabner, Fritz Vogl
We give an overview over the application of functional equations, namely the classical Poincaré and renewal equations, to the study of the spectrum of Laplace operators on self-sim…
math.CV2007
Complex asymptotics of Poincaré functions and properties of Julia sets
Gregory Derfel, Peter J. Grabner, Fritz Vogl
The asymptotic behaviour of the solutions of Poincaré's functional equation () for a real polynomial of degree is studied in angular regions of the…
math.SP2005
The Zeta Function of the Laplacian on Certain Fractals
Gregory Derfel, Peter Grabner, Fritz Vogl
We prove that the zeta-function of the Laplacian on a self-similar fractals with spectral decimation admits a meromorphic continuation to the whole complex plane. We char…