Improved bounds in Weaver and Feichtinger conjectures

Author:

Bownik Marcin,Casazza Pete,Marcus Adam W.,Speegle Darrin

Abstract

Abstract We sharpen the constant in the {\mathrm{KS}_{2}} Conjecture of Weaver [31] that was given by Marcus, Spielman and Srivastava [28] in their solution of the Kadison–Singer problem. We then apply this result to prove optimal asymptotic bounds on the size of partitions in the Feichtinger Conjecture.

Funder

National Science Foundation

Simons Foundation

Army Research Office

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Reference62 articles.

1. The Feichtinger conjecture for wavelet frames, Gabor frames and frames of translates;Canad. J. Math.,2006

2. Remarks about mixed discriminants and volumes;Commun. Contemp. Math.,2014

3. Mixed discriminants of positive semidefinite matrices;Linear Algebra Appl.,1989

4. The van der Waerden conjecture for mixed discriminants;Adv. Math.,2006

5. Localized frames are finite unions of Riesz sequences;Adv. Comput. Math.,2003

Cited by 16 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Simply interpolating sequences in complete Pick spaces;Transactions of the American Mathematical Society;2024-02-26

2. Interlacing Polynomial Method for the Column Subset Selection Problem;International Mathematics Research Notices;2024-01-25

3. On Construction of Bounded Sets Not Admitting a General Type of Riesz Spectrum;Axioms;2024-01-05

4. Unions of exponential Riesz bases;AIMS Mathematics;2024

5. Exponential bases for partitions of intervals;Applied and Computational Harmonic Analysis;2024-01

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3