# zbMATH — the first resource for mathematics

Opérateurs différentiels d’ordre infini dans des espaces de fonctions entières. (French) Zbl 0293.32004
##### MSC:
 32A15 Entire functions of several complex variables 35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 46E10 Topological linear spaces of continuous, differentiable or analytic functions
Full Text:
##### References:
 [1] BOAS (R.P.) . - Entire Functions . Academic Press, N.Y. ( 1954 ). MR 16,914f | Zbl 0058.30201 · Zbl 0058.30201 [2] GRUMAN (LAURENCE) . - The growth of entire solutions of differential equations of finite and infinite order . Ann. Inst. Fourier (Grenoble) XXII, n^\circ 1 ( 1972 ). Numdam | Zbl 0221.35005 · Zbl 0221.35005 · doi:10.5802/aif.404 · numdam:AIF_1972__22_1_211_0 · eudml:74066 [3] GRUMAN (LAURENCE) . - Infinite order differential equations in Banach spaces of Entire functions (à paraître : Jour. London Math. Soc.) [4] GRUMAN (LAURENCE) . - Some precisions on the Fourier-Borel transform and infinite order differential equations (à paraître Glasgow Math. Jour.). · Zbl 0269.35072 [4] HORMANDER (L.) . - An Introduction to Complex Analysis in Several Variables . Princeton, N.J., Van Nostrand ( 1966 ). MR 34 #2933 | Zbl 0138.06203 · Zbl 0138.06203 [5] LELONG (PIERRE) . - Fonctionnelles analytiques et fonctions entières (n variables) Les Presses de l’Université de Montréal ( 1968 ). Zbl 0194.38801 · Zbl 0194.38801 [6] LEVIN (B. JA.) . - Distribution of Zero of Entire Functions . Transl. Math. Mono. Vol. 5, A.M.S. Providence, R.I. ( 1964 ). · Zbl 0152.06703 [7] MARTINEAU (A.) . - Equations différentielles d’ordre infini . Bull. Soc. Math. France, 95 ( 1967 ), pp. 109-154. Numdam | Zbl 0167.44202 · Zbl 0167.44202 · numdam:BSMF_1967__95__109_0 · eudml:87092
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.