6 citations · 21 across the 16 of their papers we have counts for
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math.CV1996★ 2 cited
Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in C^2
Joe Kamimoto
In this paper we give an asymptotic expansion of the Bergman kernel for certain weakly pseudoconvex tube domains of finite type in C^2. Our asymptotic formula asserts that the sing…
math.CV1996
Breakdown of analyticity for d-bar-b and Szego kernels
Joe Kamimoto
The CR manifold M_m = { Im z_2= Re z_1^{2m} } (m=2,3,...) is the counterexample, which has been given by M. Christ and D. Geller, to analytic hypoellipticity of d-bar-b and real an…
math.CV1996★ 1 cited
Singularities of the Bergman kernel for certain weakly pseudoconvex domains
Joe Kamimoto
Consider the Bergman kernel of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2m_j}<1 \}$, where $m=(m_1,\ldots,m_n) \in \Natl^n$ and . Let $z^0 \i…