An additive decomposition theorem for analytic functions
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- by Donald E. Myers
- Proc. Amer. Math. Soc. 27 (1971), 525-526
- DOI: https://doi.org/10.1090/S0002-9939-1971-0269885-8
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Abstract:
Kraut, Busenberg, and Hall have shown that the uniqueness of the additive decomposition for functions of several variables given by Bochner is due to the asymptotic properties of the summands. In this paper, the uniqueness theorem is used to extend the class of functions possessing unique decompositions.References
- S. Bochner, Bounded Analytic Functions in Several Variables and Multiple Laplace Integrals, Amer. J. Math. 59 (1937), no. 4, 732–738. MR 1507275, DOI 10.2307/2371340
- Edgar Kraut, Stavros Busenberg, and William Hall, On an additive decomposition of functions of several complex variables, Bull. Amer. Math. Soc. 74 (1968), 372–374. MR 219747, DOI 10.1090/S0002-9904-1968-11958-5
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 525-526
- MSC: Primary 32.60
- DOI: https://doi.org/10.1090/S0002-9939-1971-0269885-8
- MathSciNet review: 0269885