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Transactions of the American Mathematical Society

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On functions holomorphic in a strip region, and an extension of Watson's problem


Authors: S. Mandelbrojt and G. R. MacLane
Journal: Trans. Amer. Math. Soc. 61 (1947), 454-467
MSC: Primary 30.0X
DOI: https://doi.org/10.1090/S0002-9947-1947-0020142-5
MathSciNet review: 0020142
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  • [1] L. Ahlfors, Untersuchungen zur Theorie der konformen Abbildung und der ganzen Funktionen, Acta Societatis Scientiarum Fennicae N.S. A vol. 1 (1930).
  • [2] T. Carleman, Les fonctions quasi-analytiques, Paris, Gauthier-Villars, 1926.
  • [3] A. Denjoy, Sur les fonctions quasi-analytiques de variable réele, C. R. Acad. Sci. Paris vol. 173 (1921) p. 1329. MR 0074471 (17:591b)
  • [4] S. Mandelbrojt, Séries de Fourier et classes quasi-analytiques, Paris, Gauthier-Villars, 1935.
  • [5] -, Some theorems connected with the theory of infinitely differentiable functions, Duke Math. J. vol. 11 (1944) pp. 341-349. MR 0010177 (5:257b)
  • [6] -, Sur les fonctions holomorphes et bornées dans une partie d'un demi-plan, C. R. Acad. Sci. Paris vol. 222 (1946) p. 361. MR 0015158 (7:378g)
  • [7] -, Sur les fonctions holomorphes dans une region infinie, C. R. Acad. Sci, Paris vol. 222 (1946) p. 1157. MR 0016458 (8:20b)
  • [8] R. Nevanlinna, Eindeutige analytische Funktionen, Berlin, 1936.
  • [9] A. Ostrowski, Quasianalytische Funktionen und Bestimmtheit asymptotischer Entwicklungen, Acta Math. vol. 53 (1929) pp. 181-266. MR 1555294
  • [10] G. Szegö, Randwerte einer analytischen Funktion, Math. Ann. vol. 84 (1921) pp. 232-244. MR 1512033

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DOI: https://doi.org/10.1090/S0002-9947-1947-0020142-5
Article copyright: © Copyright 1947 American Mathematical Society

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