Georg Pick - pražský matematický kolega Alberta Einsteina
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. II.
Gleichverteilung und das Konvergenzverhalten von Potenzreihen am Rande des Konvergenzkreises.
Global geometric aspects of Riemann-Hilbert problems.
Goluzin's extension of the Schwarz-Pick inequality.
Good metric spaces without good parameterizations.
A classical problem in geometric topology is to recognize when a topological space is a topological manifold. This paper addresses the question of when a metric space admits a quasisymmetric parametrization by providing examples of spaces with many Eucledian-like properties which are nonetheless substantially different from Euclidean geometry. These examples are geometrically self-similar versions of classical topologically self-similar examples from geometric topology, and they can be realized...
Good-irreducible inner functions on a polydisc
An explicit formula is developed for Nevanlinna class functions whose behaviour at the boundary is “sufficiently rational” and is then used to deduce the uniqueness of the factorization of such inner functions. A generalization of a theorem of Frostman is given and the above results are then applied to the construction of good and/or irreducible inner functions on a polydisc.
Graphs and functional equations.
Green functions for killed random walks in the Weyl chamber of Sp(4)
We consider a family of random walks killed at the boundary of the Weyl chamber of the dual of Sp(4), which in addition satisfies the following property: for any n ≥ 3, there is in this family a walk associated with a reflection group of order 2n. Moreover, the case n = 4 corresponds to a process which appears naturally by studying quantum random walks on the dual of Sp(4). For all the processes belonging to this family, we find the exact asymptotic of the Green functions along all infinite paths...
Green functions on self-similar graphs and bounds for the spectrum of the laplacian
Combining the study of the simple random walk on graphs, generating functions (especially Green functions), complex dynamics and general complex analysis we introduce a new method for spectral analysis on self-similar graphs.First, for a rather general, axiomatically defined class of self-similar graphs a graph theoretic analogue to the Banach fixed point theorem is proved. The subsequent results hold for a subclass consisting of “symmetrically” self-similar graphs which however is still more general then...
Gromov hyperbolicity of certain conformal invariant metrics.
Group Completions and Limit Sets of Kleinian Groups.
Groupes à croissance polynomiale
Growth and fixed points of meromorphic solutions of higher order linear differential equations
We investigate the growth and fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives. Our results extend the previous results due to Peng and Chen.
Growth and oscillation of differential polynomials in the unit disc.
Growth and oscillation of solutions to linear differential equations with entire coefficients having the same order.
Growth and oscillation theory of solutions of some linear differential equations
Growth estimates for solutions of linear complex differential equations.
Growth functions and Euler series.
Growth functions on Fuchsian groups and the Euler characteristic.