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pro vyhledávání: '"Ishimura, Ryuichi"'
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 continuous homomorphism from such a space to another one. As a corollary, we
Externí odkaz:
http://arxiv.org/abs/2003.11226
Publikováno v:
Complex Variables and Elliptic Equations, Published online (27 May 2020), 1-12
The aim of this paper is to characterize continuous endomorphisms in the space of entire functions of exponential type of order $p>0$. Let $A_p$ denote the space of entire functions of $n$ complex variables $z\in{\mathbb C}^n$ of order $p$ of normal
Externí odkaz:
http://arxiv.org/abs/1805.00663
Autor:
Ishimura, Ryuichi
Publikováno v:
Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, 2012 Jan 01. 55(2), 179-197.
Externí odkaz:
https://www.jstor.org/stable/43679250
Publikováno v:
In Comptes rendus - Mathématique 2010 348(5):253-256
Akademický článek
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Publikováno v:
Complex Variables & Elliptic Equations; Sep2021, Vol. 66 Issue 9, p1439-1450, 12p
Autor:
Ishimura, Ryuichi
Publikováno v:
In Journal de mathématiques pures et appliquées 2002 81(12):1241-1276
Autor:
Ishimura, Ryuichi
Publikováno v:
Kyushu Journal of Mathematics. 61(1):83-94
In this paper, we consider the space of entire functions for a given proximate order and a semi-norm, and show that a continuous endomorphism of this space is represented naturally as a partial differential operator of infinite order with entire func
Autor:
Ishimura, Ryuichi
Publikováno v:
Kyushu Journal of Mathematics. 61(1):95-107
In this paper, first, we re-establish the notion of non-local pseudo-differential operators introduced by the author, more intrinsically by means of the Fourier-Sato transformation of the sheaf of holomorphic forms. By using this, we propose the cons
Publikováno v:
数理解析研究所講究録. 1159:135-140