Let 0 be a pseudoconvex domain in C N with smooth boundary, &,, & two smooth defining functions for 0=[,>0] such that &log , &log , are plurisubharmonic, z # 0 a point at which &log , is strictly plurisubharmonic, and M 0 an integer. We show that as k Ä , the Bergman kernels with respect to the weig
Analytic continuation of weighted Bergman kernels
✍ Scribed by Miroslav Engliš
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 291 KB
- Volume
- 94
- Category
- Article
- ISSN
- 0021-7824
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of getting a biholomorphically invariant asymptotic expansion of the Bergman kernel for smoothly bounded strictly pseudoconvex domains is realized in dimension 2 with the identification of universal constants. According to the program, the expansion is in terms of an approximately invariant smooth d
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