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Basic Analysis I最新文献

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Fourier Series 傅里叶级数
Basic Analysis I Pub Date : 2020-05-13 DOI: 10.1201/9781315166254-30
J. Peterson
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引用次数: 0
Series of Functions and Power Series 函数级数与幂级数
Basic Analysis I Pub Date : 2020-05-13 DOI: 10.1007/978-88-470-1784-9_2
J. Peterson
{"title":"Series of Functions and Power Series","authors":"J. Peterson","doi":"10.1007/978-88-470-1784-9_2","DOIUrl":"https://doi.org/10.1007/978-88-470-1784-9_2","url":null,"abstract":"","PeriodicalId":130360,"journal":{"name":"Basic Analysis I","volume":"600 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116283482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Series of Real Numbers 实数级数
Basic Analysis I Pub Date : 2020-05-13 DOI: 10.1201/9781315166254-22
J. Peterson
{"title":"Series of Real Numbers","authors":"J. Peterson","doi":"10.1201/9781315166254-22","DOIUrl":"https://doi.org/10.1201/9781315166254-22","url":null,"abstract":"","PeriodicalId":130360,"journal":{"name":"Basic Analysis I","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121512529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Applications 应用程序
Basic Analysis I Pub Date : 2020-05-13 DOI: 10.1201/9781315166254-31
J. Peterson
{"title":"Applications","authors":"J. Peterson","doi":"10.1201/9781315166254-31","DOIUrl":"https://doi.org/10.1201/9781315166254-31","url":null,"abstract":"(a) The translation (τx0Th)(f) = Th(τ−x0f), (b) The modulation (e0Th)(f) = Th(e ix·ξ0f), (c) The rescaling (Th ◦A)(f) = |det(A)|Th(f ◦A−1), (d) The multiplication by xj : (xjTh)(f) = Th(xjf), (e) The multiplication by g : (gTh)(f) = Th(fg), (f) The derivative ∂xj : (∂xjTh)(f) = −Th(∂xjf), (g) The convolution with f : (Th ∗ f)(x) = Th(f(x− ·)) (is a smooth function), (h) The Fourier transform F : F(Th)(f) = Th(F(f)), (i) The inverse Fourier transform F(Th)(f) = Th(F(f)) = Th(FR(f)).","PeriodicalId":130360,"journal":{"name":"Basic Analysis I","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131618579","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Continuity 连续性
Basic Analysis I Pub Date : 2020-05-13 DOI: 10.1201/9781315166254-9
J. Peterson
{"title":"Continuity","authors":"J. Peterson","doi":"10.1201/9781315166254-9","DOIUrl":"https://doi.org/10.1201/9781315166254-9","url":null,"abstract":"","PeriodicalId":130360,"journal":{"name":"Basic Analysis I","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134430531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convergence of Sequences of Functions 函数序列的收敛性
Basic Analysis I Pub Date : 2020-05-13 DOI: 10.1201/9781315166254-27
J. Peterson
{"title":"Convergence of Sequences of Functions","authors":"J. Peterson","doi":"10.1201/9781315166254-27","DOIUrl":"https://doi.org/10.1201/9781315166254-27","url":null,"abstract":"","PeriodicalId":130360,"journal":{"name":"Basic Analysis I","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116142440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Function Limits 函数极限
Basic Analysis I Pub Date : 2020-05-13 DOI: 10.1201/9781315166254-8
J. Peterson
{"title":"Function Limits","authors":"J. Peterson","doi":"10.1201/9781315166254-8","DOIUrl":"https://doi.org/10.1201/9781315166254-8","url":null,"abstract":"","PeriodicalId":130360,"journal":{"name":"Basic Analysis I","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124635064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Basic Differentiability 基本的可微性
Basic Analysis I Pub Date : 2020-05-13 DOI: 10.1201/9781315166254-12
J. Peterson
{"title":"Basic Differentiability","authors":"J. Peterson","doi":"10.1201/9781315166254-12","DOIUrl":"https://doi.org/10.1201/9781315166254-12","url":null,"abstract":"","PeriodicalId":130360,"journal":{"name":"Basic Analysis I","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116856907","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Proving Propositions 证明命题
Basic Analysis I Pub Date : 2020-05-13 DOI: 10.1201/9781315166254-4
J. Peterson
{"title":"Proving Propositions","authors":"J. Peterson","doi":"10.1201/9781315166254-4","DOIUrl":"https://doi.org/10.1201/9781315166254-4","url":null,"abstract":"","PeriodicalId":130360,"journal":{"name":"Basic Analysis I","volume":"340 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124162347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Topological Compactness 拓扑密实度
Basic Analysis I Pub Date : 2020-05-13 DOI: 10.1201/9781315166254-7
J. Peterson
{"title":"Topological Compactness","authors":"J. Peterson","doi":"10.1201/9781315166254-7","DOIUrl":"https://doi.org/10.1201/9781315166254-7","url":null,"abstract":"","PeriodicalId":130360,"journal":{"name":"Basic Analysis I","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128607978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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