6 citations · 21 across the 16 of their papers we have counts for
17 papers
On horn-shaped Reinhardt domains
Chika Hayashida, Joe Kamimoto, Ninh Van Thu
In this paper, we introduce a new class of unbounded Reinhardt domains in (),which we call horn domains. We study the dimensions of the Bergman spaces,the ho…
Analytic continuation of local zeta functions to a slit complex plane: the one-dimensional case
Joe Kamimoto, Hiromichi Mizuno, Toshihiro Nose
In this paper, we provide a sufficient condition under which the one-dimensional local zeta function admits a holomorphic continuation to the complex plane cut along the negative r…
Unbounded Reinhardt domains with finite-dimensional Bergman spaces in $\C^n$
Chika Hayashida, Joe Kamimoto
In this paper, we construct unbounded domains in $\C^n$ (), whose Bergman spaces are nontrivial and finite-dimensional. We further show that the Bergman metrics on these d…
The asymptotic behavior of the Bergman kernel on pseudoconvex model domains
Joe Kamimoto
In this paper, we investigate the asymptotic behavior of the Bergman kernel at the boundary for some pseudoconvex model domains. This behavior can be described by the geometrical i…
Asymptotic expansion of oscillatory integrals with singular phases
Joe Kamimoto, Hiromichi Mizuno
The purpose of this article is to describe the singularities of one-dimensional oscillatory integrals, whose phases have a certain singularity, in the form of an asymptotic expansi…
Resolution of singularities for functions and meromorphy of local zeta functions
Joe Kamimoto
In this paper, we attempt to resolve the singularities of the zero variety of a function of two variables as much as possible by using ordinary blowings up. As a resul…
On holomorphic curves tangent to real hypersurfaces of infinite type
Joe Kamimoto
The purpose of this paper is to investigate the geometric properties of real hypersurfaces of D'Angelo infinite type in . In order to understand the situation of fla…
Newton polyhedra and order of contact on real hypersurfaces
Joe Kamimoto
The purpose of this paper is to investigate order of contact on real hypersurfaces in by using Newton polyhedra which are important notion in the study of singulari…
Meromorphy of local zeta functions in smooth model cases
Joe Kamimoto, Toshihiro Nose
It is known that local zeta functions associated with real analytic functions can be analytically continued as meromorphic functions to the whole complex plane. But, in the case of…
Non-polar singularities of local zeta functions in some smooth case
Joe Kamimoto, Toshihiro Nose
It is known that local zeta functions associated with real analytic functions can be analytically continued as meromorphic functions to the whole complex plane. In this paper, the…
Asymptotic limit of oscillatory integrals with certain smooth phases
Joe Kamimoto, Toshihiro Nose
We give an exact result about the asymptotic limit of an oscillatory integral whose phase contains a certain flat term. Corresponding to the real analytic phase case, one can see a…
Newton polyhedra and weighted oscillatory integrals with smooth phases
Joe Kamimoto, Toshihiro Nose
In his seminal paper, A. N. Varchenko precisely investigates the leading term of the asymptotic expansion of an oscillatory integral with real analytic phase. He expresses the orde…
Toric resolution of singularities in a certain class of functions and asymptotic analysis of oscillatory integrals
Joe Kamimoto, Toshihiro Nose
In a seminal work of A. N. Varchenko, the behavior at infinity of oscillatory integrals with real analytic phase is precisely investigated by using the theory of toric varieties ba…
Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude
Koji Cho, Joe Kamimoto, Toshihiro Nose
The asymptotic behavior at infinity of oscillatory integrals is in detail investigated by using the Newton polyhedra of the phase and the amplitude. We are especially interested in…
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…
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…
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…