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.
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页码：225 / 240
页数：16
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