Real analytic calculus for several variables and applications

被引：3
|
作者：
El Atef, H. [1 ]
El Kinani, A. [1 ]
机构：
[1] Univ Mohammed V Rabat, ENS Rabat, BP 5118, Rabat 10105, Morocco
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2021年 / 70卷 / 02期
关键词：
Hermitian Banach algebra; Real analytic function; Functional calculus for several variables; Fourier series; Weighted algebra; Wiener theorem; Levy theorem; ALGEBRA ANALOGS; THEOREMS; WIENERS;
D O I：
10.1007/s12215-020-00517-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define and study real analytic calculus for several variables in hermitian Banach algebras. We also introduce weighted algebras analogues of the classical theorems of N. Wiener and P. Levy on absolutely convergent Fourier series. As applications, we obtain two generalizations of N. Wiener and P. Levy theorems. The first one for several functions of a single variable. The second for functions of several variables.
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页码：653 / 663
页数：11
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