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Avanissian, Vazgain; Gay, Roger

Sur une transformation des fonctionnelles analytiques et ses applications aux fonctions entières de plusieurs variables. (French) Zbl 0317.32003

Bull. Soc. Math. Fr. 103, 341-384 (1975).
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Cited in 6 Reviews
Cited in 8 Documents

MSC:

32A15 Entire functions of several complex variables
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References:

[1] AVANISSIAN (V.) . - Fonctions plurisousharmoniques, différences de deux fonctions plurisousharmoniques de type exponentiel , C. R. Acad. Sc. Paris, t. 252, 1961 , p. 499-500. MR 23 #A1841 | Zbl 0173.39605 · Zbl 0173.39605
[2] AVANISSIAN (V.) et GAY (R.) . - Sur une transformation des fonctionnelles analytiques portables par des convexes compacts de Cd et la convolution d’Hadamard , C. R. Acad. Sc. Paris, t. 279, 1974 , Série A, p. 133-136. MR 50 #5461 | Zbl 0291.32006 · Zbl 0291.32006
[3] AVANISSIAN (V.) et GAY (R.) . - Sur les fonctions entières arithmétiques de type exponentiel et le quotient d’exponentielle-polynômes de plusieurs variables , C. R. Acad. Sc. Paris, t. 279, 1974 , Série A, p. 161-164. MR 50 #10297 | Zbl 0291.32007 · Zbl 0291.32007
[4] BAKER (A.) . - A note on integral integer valued functions of several variables , Proc. Cambr. phil. Soc., t. 63, 1967 , p. 715-720. MR 35 #4168 | Zbl 0189.05101 · Zbl 0189.05101
[5] BERENSTEIN (C. A.) and DOSTAL (M. A.) . - A lover estimate for exponential sums , Bull. Amer. math. Soc., t. 80, 1974 , p. 687-691. Article | MR 49 #9623 | Zbl 0304.33001 · Zbl 0304.33001 · doi:10.1090/S0002-9904-1974-13550-0
[6] BOAS (R.) . - Entire functions . - New York, Academic Press, 1954 (Pure and applied Mathematics, Academic Press, 5). MR 16,914f | Zbl 0058.30201 · Zbl 0058.30201
[7] BOCHNER (S.) and MARTIN (W.) . - Several complex variables . - Princeton, Princeton University Press, 1948 (Princeton mathematical Series, 10). MR 10,366a | Zbl 0041.05205 · Zbl 0041.05205
[8] BUCK (C. R.) . - Integral valued entire functions , Duke math. J., t. 15, 1948 , p. 879-891. Article | MR 10,693c | Zbl 0033.36402 · Zbl 0033.36402 · doi:10.1215/S0012-7094-48-01578-6
[9] GORDON (A. Ja.) and LEVIN (B. Ja.) . - On the division of quasi-polynomials , Funct. Anal. and Appl., t. 5, 1971 , p. 19-25; [in Russian] Funck. Anal., t. 5, 1971 , p. 22-29. Zbl 0243.30002 · Zbl 0243.30002 · doi:10.1007/BF01075843
[10] HÖRMANDER (L.) . - An introduction to complex analysis in several variables . - Princeton, D. Van Nostrand Company, 1966 (University Series in higher Mathematics). Zbl 0138.06203 · Zbl 0138.06203
[11] KITAGAWA (K.) . - Sur les polynômes exponentiels , J. Math. Kyoto Univ., t. 13 , 1974 , p. 489-496. Article | MR 49 #9250 | Zbl 0292.32004 · Zbl 0292.32004
[12] LELONG (P.) . - Sur les séries de Taylor F(x, y) ayant des coefficients entiers , Publ. Math., Debrecen, t. 2, 1950 , p. 209-221. MR 13,834a | Zbl 0040.03903 · Zbl 0040.03903
[13] LELONG (P.) . - Fonctionnelles analytiques et fonctions entières (n variables) . - Montréal, Les Presses de l’Université de Montréal, 1968 (Séminaire de Mathématiques supérieurs, Été 1967 , 28). Zbl 0194.38801 · Zbl 0194.38801
[14] MARTINEAU (A.) . - Sur les fonctionnelles analytiques et la transformation de Fourier-Borel , J. Anal. math., Jérusalem, t. 11, 1963 , p. 1-164 (Thèse Sc. math. Paris, 1963 ). Zbl 0124.31804 · Zbl 0124.31804 · doi:10.1007/BF02789982
[15] MARTINEAU (A.) . - Extension en n variables d’un théorème de Polya-Carlson concernant les séries de puissances à coefficients entiers , C. R. Acad. Sc. Paris, t. 273, 1971 , Séria A, p. 1127-1128. MR 45 #586 | Zbl 0241.32002 · Zbl 0241.32002
[16] PISOT (C.) . - Sur les fonctions arithmétiques analytiques à croissance exponentielle , C.R. Acad. Sc. Paris, t. 222, 1946 , p. 988-990. MR 8,23d | Zbl 0060.21501 · Zbl 0060.21501
[17] POLYA (G.) . - Über ganze ganzwertige Funktionen , Göttingen Nachr., 1920 , p. 1-10. Article | MR 10,286b | JFM 47.0299.02 · JFM 47.0299.02
[18] RITT (J. F.) . - A factorization theory for functions \sum ni = 1ai exp(\alpha ix) , Trans. Amer. math. Soc., t. 29, 1927 , p. 584-596. MR 1501406 | JFM 53.0122.06 · JFM 53.0122.06
[19] RONKIN (L. I.) . - Some questions of completeness and uniqueness for functions of several variables , Funct. Anal. and Appl., t. 7, 1973 , p. 37-45 ; [in Russian] Funkc. Anal., t. 7, 1973 , p. 45-55. MR 47 #5286 | Zbl 0278.32002 · Zbl 0278.32002 · doi:10.1007/BF01075648
[20] ŠEINOV (V. P.) . - Transfinite diametre and some theorems of Polya in the case of several complex variables , Siberian math. J., t. 12, 1971 , p. 999-1004; [in Russian] Sibirsk, mat. Ž., t. 12, 1971 , p. 1382-1389. Zbl 0253.32007 · Zbl 0253.32007 · doi:10.1007/BF00966544
[21] SELBERG (A.) . - Über ganzwertige ganze transzendente Funktionen , Arch. Math. og Naturvid., Kobenhavn, t. 44, 1941 , p. 45-52. MR 2,356e | Zbl 0024.32904 | JFM 67.0270.02 · Zbl 0024.32904
[22] SHIELDS (A.) . - On quotients of exponential polynomials , Comm. pure and appl. Math., t. 16, 1963 , p. 27-31. MR 26 #6411 | Zbl 0113.05404 · Zbl 0113.05404 · doi:10.1002/cpa.3160160105
[23] SMELL-SMALL (T.) . - On the convolution of analytic functions . J. für reine und angew. Math., t. 258, 1973 , p. 137-152. MR 47 #9295 | Zbl 0267.30012 · Zbl 0267.30012 · doi:10.1515/crll.1973.258.137
[24] TRÈVES (F.) . - Linear partial differential equations with constant coefficients . - New York, Gordon and Breach, 1966 (Mathematics and its Applications, 6). Zbl 0164.40602 · Zbl 0164.40602
[25] ZALCMAN (L.) . - Analytique capacity and rational approximation . - Berlin, Springer-Verlag, 1968 (Lecture Notes in Mathematics, 50). Zbl 0171.03701 · Zbl 0171.03701 · doi:10.1007/BFb0070657
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