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On a Theorem of Lelong

Published online by Cambridge University Press:  20 November 2018

Thu Pham-Gia
Thu Pham-Gia*
Affiliation:
Département De Mathématiques, Université De MonctonMoncton, New Brunswick, CanadaE1A 3E9
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Let Γn = {z = (z1, z2,…, zn): and Re(zi)>0, ∀i}. For a multisequence Mj, = (j1, j2,…,jn) and 0 < M(j)≤∞, let , q(r) = sup|j||{r|j|Mj} and .

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 4 , 01 December 1976 , pp. 505 - 506
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Lelong, P., Extension d’un théorème de Carleman, Ann. Inst. Fourier, Grenoble, 12 (1962), pp. 627–641.Google Scholar
2. Ronkin, L. I., Quasi-analytic classes of functions of several variables, Soviet Math. Dokl., 3, 146 (1962), pp. 1360–1363.Google Scholar
3. Rudin, W., Real and complex analysis, McGraw-Hill, New York, 1966.Google Scholar