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Holomorphic functions on a Banach space. (English) Zbl 0237.46027


MSC:

46E10 Topological linear spaces of continuous, differentiable or analytic functions
35-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to partial differential equations
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References:

[1] C. Gupta, Malgrange theorem for nuclearly entire functions of bounded type on a Banach space, Instituto de Matemática Pura e Aplicada, Conselho Nacional de Pesquisas, Rio de Janeiro, 1968. Notas de Matemática, No. 37. · Zbl 0182.45402
[2] John Horváth, Topological vector spaces and distributions. Vol. I, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966.
[3] André Martineau, Sur les fonctionnnelles analytiques et la transformation de Fourier-Borel, J. Analyse Math. 11 (1963), 1 – 164 (French). · Zbl 0124.31804 · doi:10.1007/BF02789982
[4] Leopoldo Nachbin, Topology on spaces of holomorphic mappings, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 47, Springer-Verlag New York Inc., New York, 1969. · Zbl 0258.46027
[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). · Zbl 0217.16403
[6] L. Nachbin and C. Gupta, On Malgrange’s theorem for nuclearly entire functions (to appear).
[7] François Trèves, Topological vector spaces, distributions and kernels, Academic Press, New York-London, 1967. · Zbl 0171.10402
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