Mazur, Tomasz 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]. Cited in 1 Document 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) PDFBibTeX XMLCite \textit{T. Mazur}, in: Classical analysis. Proceedings of the 6th international symposium, Kazimierz Dolny, Poland, September 23--29, 1991. Singapore: World Scientific. 132--138 (1992; Zbl 1064.32500)