A characterization of BMO and
Boundary behaviour of analytic functions in spaces of Dirichlet type.
Cantor bouquets, explosions, and Knaster continua: dynamic of complex exponentials.
We describe some of the interesting dynamical and topological properties of the complex exponential family λez and its associated Julia sets.
Characteristic Exponents of Rational Functions
We consider two characteristic exponents of a rational function f:ℂ̂ → ℂ̂ of degree d ≥ 2. The exponent is the average of log∥f’∥ with respect to the measure of maximal entropy. The exponent can be defined as the maximal characteristic exponent over all periodic orbits of f. We prove that if and only if f(z) is conformally conjugate to .
Etude sur les propriétés des fonctions entières et en particulier d'une fonction considérée par Riemann
Extrait d'une lettre de Monsieur Ch. Hermite à Monsieur Paul Gordan.
Extrait d'une lettre de Mr. Ch. Hermite à Mr. Borchardt.
Interpolating sequences and invariant subspaces of given index in the Bergman spaces.
Mating quadratic maps with the modular group.
On Deficiencies of Differential Polynomials, II.
On families of Cauchy transformations.
On fixed points of extensions of expanding maps in the unit disc
Using a result due to M. Shub, a theorem about the existence of fixed points inside the unit disc for extensions of expanding maps defined on the boundary is established. An application to a special class of rational maps on the Riemann sphere and some considerations on ergodic properties of these maps are also made.
On fixed points of holomorphic maps of simply connected proper domains in
A criterion for the existence of fixed point of one-dimensional holomorphic maps is established.
On the Kreĭn-Langer integral representation of generalized Nevanlinna functions.
Periodic quasiregular mappings of finite order.
The authors construct a periodic quasiregular function of any finite order p, 1 < p < infinity. This completes earlier work of O. Martio and U. Srebro.
Radial growth and variation of Dirichlet finite holomorphic functions in the disk
Radial Limits and growths of fractional Cauchy transforms
Subharmonicity for areal Bloch-function criteria
Sur le développement de en fraction continue
Sur les Fonctions Entieres Arithmetiques au Sens d'Abel.