Diagonals of the Laurent series of rational functions.
Division dans l'anneau des séries formelles à croissance contrôlée. Applications
We consider subrings A of the ring of formal power series. They are defined by growth conditions on coefficients such as, for instance, Gevrey conditions. We prove a Weierstrass-Hironaka division theorem for such subrings. Moreover, given an ideal ℐ of A and a series f in A we prove the existence in A of a unique remainder r modulo ℐ. As a consequence, we get a new proof of the noetherianity of A.
Eine einheitliche Methode zur Herleitung von reihenentwicklungen für Ganze funktionen vom Exponentialtyp
Eine Linearisierung kontrahierender biholomorpher Abbildungen und damit zusammenhängender analytischer Differentialgleichungssysteme.
Entire functions on nuclear sequence spaces.
Entire functions represented by Dirichlet series of two complex variables
Erratum for “Generalized dirichlet series and -functions”
Feynman's operational calculi: using Cauchy's integral formula.
Fonctionnelles causales non linéaires et indéterminées non commutatives
Fonctions analytiques de Krasner-Tate
Gap orders of meromorphic functions on Riemann surfaces.
Generalization of results about the Bohr radius for power series
The Bohr radius for power series of holomorphic functions mapping Reinhardt domains 𝓓 ⊂ ℂⁿ into a convex domain G ⊂ ℂ is independent of the domain G.
Generalized Dirichlet series and -functions
Hayman admissible functions in several variables.
Holomorphic Dirichlet Series in Several Variables.
Holomorphic functions and Banach-nuclear decompositions of Fréchet spaces
We introduce a decomposition of holomorphic functions on Fréchet spaces which reduces to the Taylor series expansion in the case of Banach spaces and to the monomial expansion in the case of Fréchet nuclear spaces with basis. We apply this decomposition to obtain examples of Fréchet spaces E for which the τ_{ω} and τ_{δ} topologies on H(E) coincide. Our result includes, with simplified proofs, the main known results-Banach spaces with an unconditional basis and Fréchet nuclear spaces with DN [2,...
Holomorphic functions on Fréchet spaces with Schauder basis.
Integral closure of in via the Puiseux theorem.
Jacobians and invariants.
Maximum module principle for power series on a Banach algebra.