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Bergman kernels and local holomorphic Morse inequalities

✍ Scribed by Robert Berman

Publisher
Springer-Verlag
Year
2004
Tongue
French
Weight
231 KB
Volume
248
Category
Article
ISSN
0025-5874

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## Abstract Let __E__ be a π’Ÿβ„±π’©β€space and let __U βŠ‚ E__ be open. By applying the nuclearity of the FrΓ©chet space ℋ︁(__U__) of holomorphic functions on __U__ we show that there are finite measures __ΞΌ__ on __U__ leading to Bergman spaces of __ΞΌ__ ‐square integrable holomorphic functions. We give an e