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Behavior of entire functions on balls in a Banach space

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Publication:633033
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DOI10.1016/S0019-3577(09)80021-9zbMath1218.46025MaRDI QIDQ633033

José M. Ansemil, Socorro Ponte, Richard Martin Aron

Publication date: 31 March 2011

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)


zbMATH Keywords

entire functionBanach spaceradius of boundedness


Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) General theory of locally convex spaces (46A03)


Related Items (5)

On real analytic functions of unbounded type ⋮ Unbounded symmetric analytic functions on $\ell_1$ ⋮ Vector spaces of entire functions of unbounded type ⋮ Holomorphic functions with distinguished properties on infinite dimensional spaces ⋮ Bloch functions on the unit ball of a Banach space




Cites Work

  • Representation of spaces of entire functions on Banach spaces
  • On the radius of convergence of an entire function in a normed space
  • Some remarks on boundedness of linear transformations from Banach spaces into Orlicz spaces of Lebesgue-Bochner measurable functions
  • Unbounded Holomorphic Functions on a Banach Space
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