By taking full advantage of the structure of complex algebraic curves and by using
compactness arguments, in this paper we give a self-contained proof that holomorphic …

NORMING SETS AND RELATED REMEZ-TYPE INEQUALITIES Page 1 J. Aust. Math. Soc. 100
(2016), 163–181 doi:10.1017/S1446788715000488 NORMING SETS AND RELATED …

In this paper we establish some general results on local behavior of holomorphic functions
along complex submanifolds of ℂ N. As a corollary, we present multi-dimensional …

Smooth parametrization consists in a subdivision of the mathematical objects under
consideration into simple pieces, and then parametric representation of each piece, while …

Résumé En s' inspirant des méthodes employées par Masser pour la fonction zêta de
Riemann dans son article (Masser in J Number Theory 131: 2037–2046, 2011), on …

We prove that the Bergman kernel function associated to a smooth measure supported on a
piecewise-smooth maximally totally real submanifold 𝐾 in C n is of polynomial growth. For …

We prove a bound of the form for the number of rational points of height at most on the graph
of the restriction to a compact set of an entire function of finite order and positive lower order …

For an analytic function f (z)=∑∞ k= 0 akzk on a neighbourhood of a closed disc D⊂ C, we
give assumptions, in terms of the Taylor coefficients ak of f, under which the number of …

This thesis is devoted to the study of the stability of the solutions of those Hamiltonian
dynamical systems which are close to be integrable (in the sense of Arnold-Liouville). We …

We study Bernstein type inequalities for restrictions of holomorphic polynomials to graphs Γ
f⊂ C n+ m of holomorphic maps f: C n→ C m. We establish general properties of the …