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Malgrange theorem for entire functions on nuclear spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 364)

Keywords

  • Uniform Convergence
  • Topological Vector Space
  • Finite Type
  • Exponential Type
  • Convolution Operator

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Bibliography

  1. Boland, P., and Dineen, S., Convolution Operators on G-Holomorphic Functions in Infinite Dimensions (to appear in the Transactions of the American Mathematical Society).

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  2. Dieudonne, J., and Schwartz, L., La dualite dans les espaces (F) et (D F), Annales de l'Institut Fourier (Grenoble), tome 1, 1949, pp. 61–101.

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  3. Dineen, S., Holomorphic Functions on Locally Convex Topological Vector Spaces (to appear in Annals de Institut Fourier).

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  4. Gupta, C.P., Convolution Operators and Holomorphic Functions on a Banach Space, Semanaire D'Analyse Moderne, No.2, Universite de Sherbrooke.

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  5. Malgrange, B., Existence et approximation des solutions des equations aux derivees partielles et des equations des convolutions, Annales de l'Institut Fourier Grenoble, IV, pg. 271–355, 1955–56.

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  6. Nachbin, Leopoldo, Topology on Spaces of Holomorphic Mappings, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 47, Springer Verlag, New York, 1969.

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  7. Pietsch, Albrecht, Nuclear Locally Convex Spaces, Ergebnisse der Mathematik und ihrer Grenzgebrete, Band 66, Springer Verlag, New York, 1972.

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© 1974 Springer-Verlag Berlin

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Boland, P.J. (1974). Malgrange theorem for entire functions on nuclear spaces. In: Hayden, T.L., Suffridge, T.J. (eds) Proceedings on Infinite Dimensional Holomorphy. Lecture Notes in Mathematics, vol 364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069012

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  • DOI: https://doi.org/10.1007/BFb0069012

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06619-4

  • Online ISBN: 978-3-540-37915-7

  • eBook Packages: Springer Book Archive