A5069363313- Holomorphic and Operator Theory
- Algebraic and Geometric Analysis
- Geometry and complex manifolds
- Analytic and geometric function theory
- Meromorphic and Entire Functions
- Advanced Algebra and Geometry
- Mathematical Analysis and Transform Methods
- Geometric and Algebraic Topology
- Analytic Number Theory Research
- Spectral Theory in Mathematical Physics
- Glaucoma and retinal disorders
- Advanced Mathematical Identities
- Advanced Mathematical Modeling in Engineering
- Ocular Diseases and Behçet’s Syndrome
- Non-Invasive Vital Sign Monitoring
- Ocular Infections and Treatments
- Finite Group Theory Research
- Biomedical and Chemical Research
- Electrolyte and hormonal disorders
- Ion Transport and Channel Regulation
- Skin Diseases and Diabetes
- advanced mathematical theories
- Oral Health Pathology and Treatment
- Polynomial and algebraic computation
- Optical Polarization and Ellipsometry
Chubu Rosai Hospital
2024
Kogakuin University
2018-2019
Institute of Mathematics, Academia Sinica
2016-2017
Nagoya University
2011-2016
Pohang University of Science and Technology
2012-2015
Osaka City University
2012
Meijo University
2006
Abstract We consider the Fock–Bargmann–Hartogs domain D n,m which is defined by inequality where (z, ζ) ∈ ℂ n × m and μ > 0. give an explicit formula for Bergman kernel of in terms polylogarithm functions. Moreover, using interlacing property, we describe how existence zeros depends on integers n. Keywords: kernelweighted kernelFock–Bargmann spacepolylogarithm functionLu Qi-Keng problemForelli–Rudin constructionAMS Subject classifications: 32A2532A07 Acknowledgements The author would like to...
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 and degree such automorphisms are related. By using Bergman mapping, prove normal in C2 linear.
We establish a series representation formula of the Bergman kernel certain class domains, which generalizes Forelli-Rudin construction Hartogs domain. Our is applied to derive deflation type identities kernels for our domains.
We develop a group-theoretic method to generalize the Laplace-Beltrami operators on classical domains. In K. Okamoto, "Harmonic analysis homogeneous vector bundles," Lecture Notes in Mathematics, Springer-Verlag, 266 (1971), 255–271, inspired by Helgason's paper, "A duality for symmetric spaces with applications group representations," Advan. Math. 5 (1970), 1–154, we defined "Poisson transforms" bundles over spaces. M. Tsukamoto and Yokota, "Generalized Poisson Cauchy kernel functions...
In the study of holomorphic automorphism groups, many researches have been carried out inside category bounded or hyperbolic domains. On contrary to these cases, for unbounded non-hyperbolic only a few results are known about structure groups. Main result present paper gives class Reinhardt domains with non-compact Cartan's linearity theorem and explicit Bergman kernels. Moreover, reformulation finite volume is also given.
The optimal treatment for profound hyponatraemia remains uncertain. Recent clinical studies have demonstrated that a standardized bolus of hypertonic saline is effective, but relying solely on this approach may not fully address the individual variability among patients. We evaluated effectiveness rapid (RB) administration followed by predictive correction (PC) using an infusate and fluid loss formula identical to Barsoum-Levine based Edelman equation (RB-PC) managing hyponatraemia. In...
A theorem due to Cartan asserts that every origin-preserving automorphism of bounded circular domains with respect the origin is linear. In present paper, by employing theory Bergman's representative domain, we prove under certain circumstances Cartan's assertion remains true for quasi-circular in $\mathbb C^n$. Our main result applied obtain some simple criterions case $n=3$ and Braun-Kaup-Upmeier's our class domains.
In this paper we determine the automorphism group of Fock-Bargmann-Hartogs domain $D_{n,m}$ in $\mathbb{C}^n\times\mathbb{C}^m$ which is defined by inequality ${\|ζ\|}^2
We consider a certain Hartogs domain which is related to the Fock-Bargmann space. give an explicit formula for Bergman kernel of in terms polylogarithm functions. Moreover we solve Lu Qi-Keng problem some cases.
We develop a group-theoretic method of generalizing the Laplace-Beltrami operators on classical domains. In [18], we defined generalized Poisson-Cauchy transforms show that give us eigenfunctions Laplacians in this paper.
This note gives a concise proof of classical Poincaré′s theorem which asserts that the unit ball 픹2 and polydisk 픻 × are not holomorphically equivalent.
In this paper we consider the zeros of Bergman kernel Fock-Bargmann-Hartogs domain $D_{n,m}$. We describe how existence depends on integers $m$ and $n$ with help interlacing property.