The Complete Solution of the Construction Problem of Infinite Frames with Given Redundancy

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2022-09-24 DOI:10.1080/01630563.2022.2124270

M. A. Hasankhani Fard

引用次数: 0

Abstract

Abstract It is constructed infinite frames with some given redundancy. In this paper, the solution of the construction problem of infinite frames with given redundancy, is completed. More precisely, all possible infinite frame redundancies are characterized.

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具有给定冗余的无限框架构造问题的完全解

摘要它是构造具有一定冗余度的无限框架。本文完成了具有给定冗余度的无穷大框架结构问题的求解。更准确地说，所有可能的无限帧冗余都是有特征的。

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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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.