Abstract
Until now we have developed the theories of holomorphic functions on Banach spaces and nuclear spaces in distinct but parallel fashions. In this chapter we partially integrate them by considering, as far as possible, a unified theory of holomorphic functions on Fréchet spaces. Our main technique is the use of various kinds of decompositions to obtain estimates.
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© 1999 Springer-Verlag London Limited
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Dineen, S. (1999). Decompositions of Holomorphic Functions. In: Complex Analysis on Infinite Dimensional Spaces. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-1-4471-0869-6_4
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DOI: https://doi.org/10.1007/978-1-4471-0869-6_4
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1223-5
Online ISBN: 978-1-4471-0869-6
eBook Packages: Springer Book Archive