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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
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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
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