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On the complex manifolds of Bergman type. (English) Zbl 1064.32500

Mazur, Tomasz (ed.), Classical analysis. Proceedings of the 6th international symposium, Kazimierz Dolny, Poland, September 23–29, 1991. Singapore: World Scientific (ISBN 981-02-0983-5). 132-138 (1992).
From the text: An axiomatic treatment of Hilbert spaces with reproducing kernel on an arbitrary complex manifold is given. Also Bergman spaces relative to a weight on a domain in \(\mathbb C^n\) are studied.
For the entire collection see [Zbl 0931.00033].

MSC:

32A25 Integral representations; canonical kernels (Szegő, Bergman, etc.)
46E22 Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)
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