Biholomorphic mappings and the Bergman kernel off the diagonal
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Publication:1249257
DOI10.1007/BF01390226zbMath0385.32019MaRDI QIDQ1249257
Publication date: 1979
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142627
Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Complex spaces with a group of automorphisms (32M99) Global boundary behavior of holomorphic functions of several complex variables (32E35)
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Cites Work
- Unnamed Item
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- Real hypersurfaces in complex manifolds
- On proper holomorphic mappings of strictly pseudoconvex domains
- On extendibility of isomorphisms of Cartan connections and biholomorphic mappings of bounded domains
- Biholomorphic mappings between weakly pseudoconvex domains
- Pseudoconvex domains with real-analytic boundary
- Biholomorphic mappings and the Bergman kernel off the diagonal
- Biholomorphic maps of weakly pseudoconvex domains
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- On the Reflection Principle in Several Complex Variables
- Sufficient conditions for subellipticity on weakly pseudo-convex domains
- ON THE ANALYTIC CONTINUATION OF HOLOMORPHIC MAPPINGS
- On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere
- The holomorphic equivalence problem for a class of Reinhardt domains.
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
- A note on the Bergman kernel