Analytic continuation of holomorphic functions with values in a locally convex space

Author:
Witold M. Bogdanowicz

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

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References | Similar Articles | Additional Information

**[1]**Nelson Dunford and Jacob T. Schwartz,*Linear Operators. I. General Theory*, With the assistance of W. G. Bade and R. G. Bartle. Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers, Ltd., London, 1958. MR**0117523****[2]**I. M. Gel’fand and G. E. Shilov,*Generalized functions. Vol. I: Properties and operations*, Translated by Eugene Saletan, Academic Press, New York-London, 1964. MR**0166596****[3]**John Horváth,*The analytic continuation of vector-valued holomorphic functions*, Notices Amer. Math. Soc.**15**(1968), p. 176.**[4]**-,*Topological vector spaces and distributions*, Addison-Wesley, Reading, Mass., 1966.**[5]**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.**[6]**-,*On analytic extensions of holomorphic functions with values in the space of continuous functions*, Notices Amer. Math. Soc.**15**(1968), p. 627.**[7]**-,*Existence of analytic extensions of holomorphic functions with values in the space of Lebesgue summable functions*, Notices Amer. Math. Soc.**15**(1968), p. 792.

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DOI:
https://doi.org/10.1090/S0002-9939-1969-0250067-1

Article copyright:
© Copyright 1969
American Mathematical Society