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La plus petite majorante surharmonique et son rapport avec l'existence des fonctions entières de type exponentiel jouant le rôle de multiplicateurs

Paul Koosis (1983)

Annales de l'institut Fourier

Étant donné une fonction $w (x) \geq 0$ paire et continue, on se demande si une fonction entière $φ (z) ≢ 0$ de type exponentiel $a$ existe telle que $φ (x) \exp w (x)$ soit borné pour $- \infty < x < \infty$ . L’existence d’une telle $φ$ est équivalente à celle d’une fonction croissante $ρ (t)$ sur $[0, \infty)$ telle que $ρ (t) = θ (t)$ , que $\frac{ρ (t)}{t} \to \frac{a}{π}$ pour $t \to \infty$ , et que $w (x) + \infty_{0}^{\infty} log | 1 - \frac{x^{2}}{t^{2}} | d ρ (t) \leq C^{te}$ , $x \in R$ , pourvu que $w (x)$ satisfasse à une condition de régularité assez peu restrictive, décrite au début de l’article. On démontre que l’existence d’une telle $ρ$ est à son tour équivalente à ce que la fonction $\frac{1}{π} \int_{- \infty}^{\infty} \frac{| ℑ z |}{| z - t |^{2}} w (t) d t - a | ℑ z |$ admette une majorante surharmonique...

Laguerre-type exponentials, and the relevant $L$ -circular and $L$ -hyperbolic functions.

Dattoli, Giuseppe, Ricci, Paolo E. (2003)

Georgian Mathematical Journal

Laplace ultradistributions on a half line and a strong quasi-analyticity principle

Grzegorz Łysik (1996)

Annales Polonici Mathematici

Several representations of the space of Laplace ultradistributions supported by a half line are given. A strong version of the quasi-analyticity principle of Phragmén-Lindelöf type is derived.

Les zéros entiers des fonctions entières de type exponentiel.

Gérard RAUZY (1976/1977)

Seminaire de Théorie des Nombres de Bordeaux

Level sets of infinite length.

George Piranian, Allen Weitsman (1978)

Commentarii mathematici Helvetici

Limit functions in wandering domains of meromorphic functions.

Baker, I.N. (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

Lindelöf-type theorems for quasiconformal and quasiregular mappings

Matti Vuorinen (1983)

Banach Center Publications

Linear differential polynomials sharing the same 1-points with weight two

Indrajit Lahiri (2002)

Annales Polonici Mathematici

We prove a uniqueness theorem for meromorphic functions involving differential polynomials which improves some previous results and provides a better answer to a question of C. C. Yang.

Linear differential polynomials sharing three values with finite weight.

Banerjee, Abhijit (2007)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Linear differential polynomials sharing three values with weights.

Lahiri, Indrajit (2003)

Applied Mathematics E-Notes [electronic only]

Linear substitution for basic sets of polynomials in Clifford analysis

Abul-Ez, M.A., Constales, D. (1991)

Portugaliae mathematica

Linéarisation des difféomorphismes analytiques dans une algèbre de Banach.

A. Attioui, A. Azhari (2001)

Extracta Mathematicae

Linéarisation des perturbations holomorphes des rotations et applications

Emmanuel Risler (1999)

Mémoires de la Société Mathématique de France

Local growth of Weierstrass $σ$ -function and Whittaker-type derivative sampling.

Pogány, Tibor K. (2003)

Georgian Mathematical Journal

Logarithmic Mean Of An Entire Dirchlet Series

S. K. Vaish, S. C. Gupta (1980)

Publications de l'Institut Mathématique

Lower-dimensional decompositions using complex variables

Wolfgang Tutschke (1998)

Archivum Mathematicum

The purpose of the present paper is to represent non-holomorphic functions depending on one or several complex variables by holomorphic and anti-holomorphic functions depending on only one complex variable. Similarly as in the case of functions of real variables, the obtained criteria can also be interpreted as conditions for the solvability of functional equations.

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