On small entire functions of exponential type with given zeros

DOI10.24033/bsmf.1564zbMath0126.29002OpenAlexW4238252909MaRDI QIDQ5333485

Paul Malliavin, Lee A. Rubel

Publication date: 1961

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1961__89__175_0

zbMATH Keywords

complex functions

Related Items (21)

Growth of entire functions of exponential type and characteristics of distributions of points along straight line in complex plane ⋮ Slowness of the growth on the imaginary axis of entire functions of exponential type with given zeros ⋮ Invariant Subspaces in Unbounded Domains ⋮ A version of the Malliavin-Rubel theorem on entire functions of exponential type with zeros near the imaginary axis ⋮ Sharp bounds for asymptotic characteristics of growth of entire functions with zeros on given sets ⋮ On the growth of entire functions with discretely measurable zeros ⋮ Distribution of zeros of exponential-type entire functions with constraints on growth along a line ⋮ On one Leontiev-Levin theorem ⋮ Growth of subharmonic functions along line and distribution of their Riesz measures ⋮ Invariant subspaces in half-plane ⋮ Sur l'approximation par distributions à support discret ⋮ On the growth of the entire functions of exponential type with given zeros along a line ⋮ Incompleteness and closure of the multiplicity system \(\{t^ke^\lambda j^t\}\) in the weighted Banach space ⋮ A lacunary version of Mergelian's approximation theorem ⋮ Balayage of measures and subharmonic functions to a system of rays. I. The classical case ⋮ Invariant spaces of entire functions ⋮ On the necessary and sufficient conditions for the measurability of a positive sequence ⋮ Asymptotic properties of entire functions with given laws of distribution of zeros ⋮ The fractional derivative via entire functions ⋮ The order of the Dirichlet series in the half-strip ⋮ A completeness of a system of exponential monomials with positive exponents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sur la croissance radiale d'une fonction méromorphe
• On Weierstrass products of zero type on the real axis
• Sur quelques problèmes d'unicité et de prolongement, rélatifs aux fonctions approchables par des sommes d'exponentielles
• Necessary and Sufficient Conditions for Carlson's Theorem on Entire Functions
• Laplace's Transformation and Integral Functions
• A Generalization of Carlson's Theorem
• Entire functions

This page was built for publication: On small entire functions of exponential type with given zeros