scholarly journals Primary ideals in rings of analytic functions

1975 ◽  
Vol 53 (2) ◽  
pp. 423-423 ◽  
Author(s):  
Norman L. Alling
Keyword(s):  
Analytic Functions ◽  
Primary Ideals

scholarly journals Standard ideals in weighted algebras of Korenblyum and Wiener types

2011 ◽  
Vol 108 (2) ◽  
pp. 291 ◽  
Author(s):  
José E. Galé ◽  
Antoni Wawrzynczyk
Keyword(s):  
Analytic Functions ◽  
Unit Disc ◽  
Banach Algebras ◽  
Higher Order ◽  
Half Line ◽  
Sobolev Type ◽  
Discrete Analogues ◽  
Primary Ideals ◽  
Positive Half

We introduce two types of Banach algebras of analytic functions on the unit disc which can be seen as weighted versions of closed primary ideals of the Korenblyum and (analytic) Wiener algebras, respectively. Such types of algebras arise in connection with convolution Banach algebras of Sobolev type, on the positive half-line, and their discrete analogues defined in terms of higher order differences. We show that all closed ideals are standard for algebras in the first class, and that closed ideals with countable hull are standard in algebras of the second class.

GENERALIZED OF PRIMARY AVOIDANCE THEOREM FOR COMMUTATIVE RINGS

2018 ◽  
Vol 1 (21) ◽  
pp. 415-438
Author(s):  
Amer Shamil Abdulrhman
Keyword(s):  
Commutative Rings ◽  
Primary Ideals

In this paper we study covering ideals by Cosets of primary ideals and we get a generalized the primary avoidance theorem in the rings which it has been

A system of functions biorthogonal with the derivatives of Chebyshev second-kind polynomials of a complex variable

2020 ◽  
Vol 17 (2) ◽  
pp. 256-277
Author(s):  
Ol'ga Veselovska ◽  
Veronika Dostoina
Keyword(s):  
Complex Plane ◽  
Complex Variable ◽  
Analytic Functions ◽  
Combinatorial Identities ◽  
Independent Interest ◽  
Closed Curves ◽  
In Series ◽  
Derivatives Of

For the derivatives of Chebyshev second-kind polynomials of a complex vafiable, a system of functions biorthogonal with them on closed curves of the complex plane is constructed. Properties of these functions and the conditions of expansion of analytic functions in series in polynomials under consideration are established. The examples of such expansions are given. In addition, we obtain some combinatorial identities of independent interest.

A NEW SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY OPOOLA DIFFERENTIAL OPERATOR

2020 ◽  
Vol 9 (8) ◽  
pp. 5343-5348 ◽  
Author(s):  
T. G. Shaba ◽  
A. A. Ibrahim ◽  
M. F. Oyedotun
Keyword(s):  
Differential Operator ◽  
Analytic Functions
Sign in / Sign up

Export Citation Format

Share Document