Analytic continuation of holomorphic functions with values in a locally convex space
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- by Witold M. Bogdanowicz
- Proc. Amer. Math. Soc. 22 (1969), 660-666
- DOI: https://doi.org/10.1090/S0002-9939-1969-0250067-1
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References
- Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 117523
- I. M. Gel’fand and G. E. Shilov, Generalized functions. Vol. I: Properties and operations, Academic Press, New York-London, 1964. Translated by Eugene Saletan. MR 166596 John Horváth, The analytic continuation of vector-valued holomorphic functions, Notices Amer. Math. Soc. 15 (1968), p. 176. —, Topological vector spaces and distributions, Addison-Wesley, Reading, Mass., 1966. W. M. Bogdanowicz, Analytic continuation of locally-convex-space-valued holomorphic functions on domains in real or complex locally convex spaces, Math. Ann. (to appear). For the announcement of the main result see Proceedings of the Symposium in Functional Analysis, September 29-October 5, 1968, Oberwolfach, West Germany. —, On analytic extensions of holomorphic functions with values in the space of continuous functions, Notices Amer. Math. Soc. 15 (1968), p. 627. —, Existence of analytic extensions of holomorphic functions with values in the space of Lebesgue summable functions, Notices Amer. Math. Soc. 15 (1968), p. 792.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 22 (1969), 660-666
- MSC: Primary 46.45; Secondary 30.00
- DOI: https://doi.org/10.1090/S0002-9939-1969-0250067-1
- MathSciNet review: 0250067