Singular Value Decomposition of a Finite Hilbert Transform Defined on Several Intervals and the Interior Problem of Tomography: The Riemann-Hilbert Problem Approach
Author:
Affiliation:
1. Department of Mathematics and Statistics; Concordia University; 1455 de Maisonneuve W. Montréal QC H3G 1M8 Canada
2. University of Central Florida, Department of Mathematics; 4000 Central Florida Blvd. P.O. Box 161364 Orlando FL 32816-1364 USA
Funder
Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada
Publisher
Wiley
Subject
Applied Mathematics,General Mathematics
Link
http://onlinelibrary.wiley.com/wol1/doi/10.1002/cpa.21547/fullpdf
Reference35 articles.
1. Spectral analysis of the truncated Hilbert transform with overlap;Al-Aifari;SIAM J. Math. Anal.,2014
2. Note sur une relation entre les intégrales définies des produits des fonctions;Andréief;Mem. Soc. Sci. Bordeaux,1883
3. The transition between the gap probabilities from the Pearcey to the airy process-a Riemann-Hilbert approach;Bertola;Int. Math. Res. Not. IMRN,2012
4. Universality for the focusing nonlinear Schrödinger equation at the gradient catastrophe point: rational breathers and poles of the tritronquée solution to Painlevé I;Bertola;Comm. Pure Appl. Math.,2013
Cited by 11 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. On singular limits of finite Hilbert transform operators on multi‐intervals;Mathematische Nachrichten;2023-11-02
2. On the spectral properties of the Hilbert transform operator on multi-intervals;Journal of Spectral Theory;2022-09-21
3. A scalar Riemann–Hilbert problem on the torus: applications to the KdV equation;Analysis and Mathematical Physics;2022-08-22
4. Inversion formula and range conditions for a linear system related with the multi‐interval finite Hilbert transform in L 2;Mathematische Nachrichten;2021-06-14
5. Fine spectra of the finite Hilbert transform in function spaces;Advances in Mathematics;2021-03
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