Abstract
Let D be a domain in ℂn.The space \( \mathcal{O}\left( D \right) \) of holomorphic functions on D is equipped with the topology of uniform convergence on compact sets. A Hilbert space of holomorphic functions on D is a subspace \( \mathcal{H} \) of \( \mathcal{O}\left( D \right) \)which is equipped with the structure of a Hilbert space such that the embedding
is continuous, which means that: for every compact set Q ⊂ D there exists a constant M = M(Q) such that
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© 2000 Springer Science+Business Media New York
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Faraut, J. (2000). Hilbert Spaces of Holomorphic Functions. In: Analysis and Geometry on Complex Homogeneous Domains. Progress in Mathematics, vol 185. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1366-6_2
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DOI: https://doi.org/10.1007/978-1-4612-1366-6_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7115-4
Online ISBN: 978-1-4612-1366-6
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