Classifier Instance:

Anchor text: Fréchet
Target Entity: Fr\u00e9chet_derivative
Preceding Context: The concept of a holomorphic function can be extended to the infinite-dimensional spaces of functional analysis. For instance, the
Succeeding Context: or Gâteaux derivative can be used to define a notion of a holomorphic function on a Banach space over the field of complex numbers.
Paragraph Title: Extension to functional analysis
Source Page: Holomorphic function

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