Decompositions of Holomorphic Functions

  • Seán Dineen
Part of the Springer Monographs in Mathematics book series (SMM)


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.


Banach Space Holomorphic Function Convex Space Unconditional Basis Nuclear Space 
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Copyright information

© Springer-Verlag London Limited 1999

Authors and Affiliations

  • Seán Dineen
    • 1
  1. 1.Department of MathematicsUniversity College DublinBelfield Dublin 4Ireland

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