AN ALGEBRA OF POLYANALYTIC FUNCTIONS

被引：0

作者：

Daghighi, Abtin ^{[1
]}

Gauthier, Paul M. ^{[2
]}

机构：

[1] Umea Univ, Dept Math & Math Stat, S-90187 Umea, Sweden

[2] Univ Montreal, Montreal, PQ H3C 3J7, Canada

来源：

COLLOQUIUM MATHEMATICUM | 2021年 / 165卷 / 02期

关键词：

polyanalytic; q-analytic; Banach space; uniform algebra;

D O I：

10.4064/cm8274-9-2020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The most important uniform algebra is the family of continuous functions on a compact subset K of the complex plane C which are analytic on the interior int(K). For polyanalytic functions and compact sets K which are regular (i.e. K = <(int(K)))over bar, we introduce analogous spaces, which are Banach spaces with respect to the sup-norm, but are not closed with respect to the usual pointwise multiplication. We introduce a multiplication on these spaces and investigate the resulting algebras.

引用

页码：225 / 240

页数：16

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