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Variational Formula for Bergman Kernels

✍ Scribed by N. A. Shirokov

Book ID: 110312887
Publisher: Springer US
Year: 2001
Tongue: English
Weight: 302 KB
Volume: 107
Category: Article
ISSN: 1573-8795
DOI: 10.1023/a:1012405120261

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## Abstract Let __E__ be a 𝒟ℱ𝒩‐space and let __U ⊂ E__ be open. By applying the nuclearity of the Fréchet space ℋ︁(__U__) of holomorphic functions on __U__ we show that there are finite measures __μ__ on __U__ leading to Bergman spaces of __μ__ ‐square integrable holomorphic functions. We give an e