Canonical products of infinite order.
Characteristic functional equations of polynomials and the Morera-Carleman theorem.
Comparative growth analysis of Wronskians in the light of their relative orders
In this paper we study the comparative growth properties of a composition of entire and meromorphic functions on the basis of the relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.
Completeness in L1(R) of discrete translates.
We characterize, in terms of the Beurling-Malliavin density, the discrete spectra Λ ⊂ R for which a generator exists, that is a function φ ∈ L1(R) such that its Λ translates φ(x - λ), λ ∈ Λ, span L1(R). It is shown that these spectra coincide with the uniqueness sets for certain analytic clases. We also present examples of discrete spectra Λ ∈ R which do not admit a single generator while they admit a pair of generators.
Criteria for (sub-)harmonicity and continuation of (sub-)harmonic functions.
Croissance et meilleure approximation polynomiale des fonctions entieres