Holomorphic functions on a Banach space
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- Bull. Amer. Math. Soc. 76 (1970), 883-886
References
- C. Gupta, Malgrange theorem for nuclearly entire functions of bounded type on a Banach space, Notas de Matemática, No. 37, Instituto de Matemática Pura e Aplicada, Conselho Nacional de Pesquisas, Rio de Janeiro, 1968. MR 0632066
- John Horváth, Topological vector spaces and distributions. Vol. I, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966. MR 0205028
- André Martineau, Sur les fonctionnelles analytiques et la transformation de Fourier-Borel, J. Analyse Math. 11 (1963), 1–164 (French). MR 159220, DOI 10.1007/BF02789982
- Leopoldo Nachbin, Topology on spaces of holomorphic mappings, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 47, Springer-Verlag New York, Inc., New York, 1969. MR 0254579 5. L. Nachbin, Convolution operators in spaces of nuclearly entire functions on a Banach space, Proc. Conference Functional Analysis and Related Topics in Honor of M. H. Stone, Springer-Verlag, Berlin and New York, (to appear). 6. L. Nachbin and C. Gupta, On Malgrange’s theorem for nuclearly entire functions (to appear).
- François Trèves, Topological vector spaces, distributions and kernels, Academic Press, New York-London, 1967. MR 0225131
Additional Information
- Journal: Bull. Amer. Math. Soc. 76 (1970), 883-886
- MSC (1970): Primary 4630, 4645; Secondary 3202
- DOI: https://doi.org/10.1090/S0002-9904-1970-12595-2
- MathSciNet review: 0259578