全纯上同调卷积与Hadamard乘积

IF 1.1 2区数学 Q1 MATHEMATICS Publications of the Research Institute for Mathematical Sciences Pub Date : 2018-02-06 DOI:10.4171/prims/58-1-2

Christophe Dubussy, Jean-Pierre Schneiders

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引用次数: 1

摘要

在本文中，我们解释了Pohlen的扩展Hadamard积与$\mathbb{C}^*$上全纯上同调卷积之间的联系。为此，我们引入了即使全纯函数在无穷远处不消失也有定义的广义Hadamard积，以及强可卷积集的概念。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Holomorphic Cohomological Convolution and Hadamard Product

In this article, we explain the link between Pohlen's extended Hadamard product and the holomorphic cohomological convolution on $\mathbb{C}^*$. For this purpose, we introduce a generalized Hadamard product, which is defined even if the holomorphic functions do not vanish at infinity, as well as a notion of strongly convolvable sets.

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来源期刊

Publications of the Research Institute for Mathematical Sciences 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Publications of the Research Institute for Mathematical Sciences (PRIMS) is to publish original research papers in the mathematical sciences.

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