Atsushi Yamamori

Chubu Rosai Hospital

Author Statistics

Papers

Citation

H-Index

i-10 index

Research Field

[Intraocular blood pressure measuring method].

PubMed (1964)

Atsushi Yamamori

Source

Cite

Citations (0)

On the linearity of origin-preserving automorphisms of quasi-circular domains in $\mathbb C^n$

arXiv (Cornell University) (2014)

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 theory of Bergman's representative domain, we prove that under certain circumstances Cartan's assertion remains true for quasi-circular domains in $\mathbb C^n$. Our main result is applied to obtain some simple criterions for the case $n=3$ and to prove that Braun-Kaup-Upmeier's theorem remains true for our class of quasi-circular domains.

Assertion

Linearity

10.48550/arxiv.1404.0309

Cite

Citations (2)

A generalization of the Forelli-Rudin construction and deflation identities

Proceedings of the American Mathematical Society (2014)

Atsushi Yamamori

We establish a series representation formula of the Bergman kernel of a certain class of domains, which generalizes the Forelli-Rudin construction of the Hartogs domain. Our formula is applied to derive deflation type identities of the Bergman kernels for our domains.

Deflation

Kernel (algebra)

Representation

Bergman kernel

10.1090/s0002-9939-2014-12317-3

Cite

Citations (6)

Generalized Laplacians on classical domains

Atsushi Yamamori

In [6], the generalized Poisson-Cauchy kernel function, which includes as special cases the Poisson kernel function and the Cauchy kernel function, was defined. Moreover the explicit formula of the generalized Poisson-Cauchy kernel function was given. In [3], we defined the generalized Laplacians on the classical domains and showed that the generalized Poisson-Cauchy transforms give rise to eigenfunctions of the generalized Laplacians. In this article, we carry out a direct computation to obtain an explicit formula of the eigenvalues.

Poisson kernel

Kernel (algebra)

Eigenfunction

Generalized function

Source

Cite

Citations (0)

[Simple tonogram by microtransfiguration tonometer].

PubMed (1971)

Atsushi Yamamori

Source

Cite