18 citations · 22 across the 6 of their papers we have counts for
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On the linearity of origin-preserving automorphisms of quasi-circular domains in
Atsushi Yamamori
A theorem due to Cartan asserts that every origin-preserving automorphism of bounded circular domains with respect to the origin is linear. In the present paper, by employing the t…
Automorphisms of normal quasi-circular domains
Atsushi Yamamori
It was shown by Kaup that every origin-preserving automorphism of quasi-circular domains is a polynomial mapping. In this paper, we study how the weight of quasi-circular domains a…
An application of a Diederich-Ohsawa theorem in characterizing some Hartogs domains
Hyeseon Kim, Atsushi Yamamori
Applying a theorem due to Diederich and Ohsawa on weighted Bergman kernels, we characterize some Hartogs domains by their holomorphic automorphisms.
The automorphism group of a certain unbounded non-hyperbolic domain
Hyeseon Kim, Ninh Van Thu, Atsushi Yamamori
In this paper we determine the automorphism group of the Fock-Bargmann-Hartogs domain in which is defined by the inequality ${\|ζ\|}^2<e^…
Zeros of the Bergman kernel of the Fock-Bargmann-Hartogs domain and the interlacing property
Atsushi Yamamori
In this paper we consider the zeros of the Bergman kernel of the Fock-Bargmann-Hartogs domain . We describe how the existence of zeros of the Bergman kernel depends on the…
The Bergman kernel of a certain Hartogs domain and the polylogarithm function
Atsushi Yamamori
We consider a certain Hartogs domain which is related to the Fock-Bargmann space. We give an explicit formula for the Bergman kernel of the domain in terms of the polylogarithm fun…