19 citations · 34 across the 9 of their papers we have counts for
9 papers
The Borel transform of the WKB solution to the Pearcey system
Takashi Aoki, Takao Suzuki, Shofu Uchida
We study the system of partial differential equations which characterizes the Pearcey integral from the viewpoint of the exact WKB analysis. It is shown that the Borel transform of…
An elementary proof of the Voros connection formula for WKB solutions to the Airy equation with a large parameter
Takashi Aoki, Takao Suzuki, Shofu Uchida
The Voros connection formula for WKB solutions to the Airy equation with a large parameter is proved by using cubic equations. Some parts of the results are generalized to the Pear…
Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter
Takashi Aoki, Shofu Uchida
Voros coefficients of the generalized hypergeometric differential equations with a large parameter are defined and their explicit forms are given for the origin and for the infinit…
A differential operator representation of continuous homomorphisms between the spaces of entire functions of given proximate orders
Takashi Aoki, Ryuichi Ishimura, Yasunori Okada
In this paper, we consider the locally convex spaces of entire functions with growth given by proximate orders, and study the representation as a differential operator of a continu…
Characterization of continuous endomorphisms in the space of entire functions of a given order
Takashi Aoki, Ryuichi Ishimura, Yasunori Okada +2
The aim of this paper is to characterize continuous endomorphisms in the space of entire functions of exponential type of order . Let denote the space of entire function…
Foundation of Symbol Theory for Analytic Pseudodifferential Operators. I
Takashi Aoki, Naofumi Honda, Susumu Yamazaki
A new symbol theory for pseudodifferential operators in the complex analytic category is given. This theory provides a cohomological foundation of symbolic calculus.