arXiv subjects

Hiromichi Mizuno

Publications and source records attributed to Hiromichi Mizuno.

2 recordsLinked to original sources

arXiv2026

Analytic continuation of local zeta functions to a slit complex plane: the one-dimensional case

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 real axis.

math.CV↗

arXiv2022

Asymptotic expansion of oscillatory integrals with singular phases

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 expansion. In the case of the Laplace integral, an analogous result is also given.

math.CA↗