Hiroki Yagisita

activity

20082023

most citedExistence of traveling waves for a nonlocal monostable equation: an abstract approach

11 citations · 13 across the 9 of their papers we have counts for

collaborators

10 papers

math.GM2023

Heat equation and Schrödinger equation with translation invariance on the infinite-dimensional vector space $R^{\infty}$

Hiroki Yagisita

The standard Laplacian $- △_{R^{n}}$ in $L^{2} (R^{n})$ is self-adjoint and translation invariant on the finite-dimensional linear space $R^{n}$ . In this pape…

math.FA2019

A remark on embedding of a cylinder on a real commutative Banach algebra

Hiroki Yagisita

Let $A$ be a real commutative Banach algebra with unity. Let $a_{0} \in A ∖ {0}$ . Let $Z a_{0} := {n a_{0}}_{n \in Z}$ . Then, $Z a_{0}$ is a discrete subgroup…

math.GN2019★ 1 cited

A remark on locally direct product subsets in a topological Cartesian space

Hiroki Yagisita

Let $X$ and $Y$ be topological spaces. Let $C$ be a path-connected closed set of $X \times Y$ . Suppose that $C$ is locally direct product, that is, for any $(a, b) \in X \times Y$ , the…

math.CV2019★ 1 cited

Cartan-Thullen theorem for a $C^{n}$ -holomorphic function and a related problem

Hiroki Yagisita

Cartan-Thullen theorem is a basic one in the theory of analytic functions of several complex variables. It states that for any open set $U$ of $C^{k}$ , the following condit…

math.DG2018

Holomorphic differential forms of complex manifolds on commutative Banach algebras and a few related problems

Hiroki Yagisita

Let $A$ be a commutative Banach algebra. Let $M$ be a complex manifold on $A$ (an $A$ -manifold). Then, we define an $A$ -holomorphic vector bundle $(\land^{k} T^{*}) (M)$ on $M$ . For an…

math.DG2018

Finite-dimensional complex manifolds on commutative Banach algebras and continuous families of compact complex manifolds

Hiroki Yagisita

An n-dimensional complex manifold is a manifold by biholomorphic mappings between open sets of the finite direct product of the complex number field. On the other hand, when A is a…

Heat equation and Schrödinger equation with translation invariance on the infinite-dimensional vector space R∞

A remark on embedding of a cylinder on a real commutative Banach algebra

A remark on locally direct product subsets in a topological Cartesian space

Cartan-Thullen theorem for a Cn-holomorphic function and a related problem

Holomorphic differential forms of complex manifolds on commutative Banach algebras and a few related problems

Finite-dimensional complex manifolds on commutative Banach algebras and continuous families of compact complex manifolds

Heat equation and Schrödinger equation with translation invariance on the infinite-dimensional vector space $R^{\infty}$

Cartan-Thullen theorem for a $C^{n}$ -holomorphic function and a related problem