连续语音变换的不确定性原理

IF 0.6 4区数学 Q3 MATHEMATICS Complex Variables and Elliptic Equations Pub Date : 2023-09-25 DOI:10.1080/17476933.2023.2260991

Moussa Faress, Said Fahlaoui

{"title":"连续语音变换的不确定性原理","authors":"Moussa Faress, Said Fahlaoui","doi":"10.1080/17476933.2023.2260991","DOIUrl":null,"url":null,"abstract":"AbstractIn this paper, after recalling the main properties of the voice transform, we prove its inversion formula, then we present some qualitative uncertainty principles associated with this transform. Finally, we find a solution to an interpolation problem.Keywords: Representationvoice transformuncertainty principlesinterpolationAMS Subject Classifications: 43-XX43A6544-XX42A3805C62 AcknowledgmentsThe authors wish to express their thanks to the referee for his/her valuable suggestions and comments.Disclosure statementNo potential conflict of interest was reported by the author(s).","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some uncertainty principles for the continuous voice transform\",\"authors\":\"Moussa Faress, Said Fahlaoui\",\"doi\":\"10.1080/17476933.2023.2260991\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"AbstractIn this paper, after recalling the main properties of the voice transform, we prove its inversion formula, then we present some qualitative uncertainty principles associated with this transform. Finally, we find a solution to an interpolation problem.Keywords: Representationvoice transformuncertainty principlesinterpolationAMS Subject Classifications: 43-XX43A6544-XX42A3805C62 AcknowledgmentsThe authors wish to express their thanks to the referee for his/her valuable suggestions and comments.Disclosure statementNo potential conflict of interest was reported by the author(s).\",\"PeriodicalId\":51229,\"journal\":{\"name\":\"Complex Variables and Elliptic Equations\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-09-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Variables and Elliptic Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/17476933.2023.2260991\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables and Elliptic Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/17476933.2023.2260991","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

摘要本文在回顾了语音变换的主要性质后，证明了语音变换的反演公式，并给出了与语音变换相关的定性不确定性原理。最后，我们找到了一个插值问题的解。关键词:表征;语音转换;不确定原理;插值;ams学科分类:43-XX43A6544-XX42A3805C62致谢感谢审稿人提出的宝贵建议和意见。披露声明作者未报告潜在的利益冲突。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Some uncertainty principles for the continuous voice transform

AbstractIn this paper, after recalling the main properties of the voice transform, we prove its inversion formula, then we present some qualitative uncertainty principles associated with this transform. Finally, we find a solution to an interpolation problem.Keywords: Representationvoice transformuncertainty principlesinterpolationAMS Subject Classifications: 43-XX43A6544-XX42A3805C62 AcknowledgmentsThe authors wish to express their thanks to the referee for his/her valuable suggestions and comments.Disclosure statementNo potential conflict of interest was reported by the author(s).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Complex Variables and Elliptic Equations MATHEMATICS-

CiteScore

2.00

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds. The Journal was formally published as Complex Variables Theory and Application.