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Extension of a Result of S. Mandelbrojt

Published online by Cambridge University Press:  20 November 2018

T. Pham-Gia
T. Pham-Gia*
Affiliation:
Department of Mathematics, Université de Moncton, Moncton, N.B. E1A 3E9
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Abstract

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We extend the following result to several variables: For any sequence {Nj}, we have C{Nj} = C{Mj}, with {Mj} logarithmically convex i.e.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 3 , 01 September 1979 , pp. 381 - 384
Copyright
Copyright © Canadian Mathematical Society 1979

References

1. Mandelbrojt, S., Séries adhérentes, régularisation des suites, applications, Gauthier-Villars, Paris, 1952.Google Scholar
2. Pham-Gia, T., On a theorem of Lelong, Canad. Math. Bull., Vol. 19 (4), 1976, 505-506.Google Scholar
3. Rudin, W., Division in algebras of infinitely differentiate functions, Journ. Math. Mech., Vol. II, 5 (1962), 797-809.Google Scholar
4. Rudin, W., Real and Complex Analysis, McGraw-Hill, New York, 1966.Google Scholar