Real Analysis Exchange最新文献

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A Cantor-Type Construction. Invariant Set and Measure 康托式结构。不变集与测度
IF 0.2
Real Analysis Exchange Pub Date : 2022-10-01 DOI: 10.14321/realanalexch.47.2.1630741075
I. Chitescu, Loredana Ioana
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引用次数: 0
Jaroslav Kurzweil (1926-2022) 雅罗斯拉夫·库兹韦尔(1926-2022)
IF 0.2
Real Analysis Exchange Pub Date : 2022-10-01 DOI: 10.14321/realanalexch.47.2.1654513566
Jean Mawhin
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引用次数: 0
Errata: Dynamics of Certain Distal Actions on Spheres 球体上某些远端作用的动力学
IF 0.2
Real Analysis Exchange Pub Date : 2022-10-01 DOI: 10.14321/realanalexch.47.2.1654759107
Riddhi Shah, Alok K. Yadav
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引用次数: 0
Almost Everywhere Convergence Questions of Series of Translates of Non-Negative Functions 非负函数平移级数的几乎处处收敛问题
IF 0.2
Real Analysis Exchange Pub Date : 2022-09-24 DOI: 10.14321/realanalexch.48.1.1663223339
Z. Buczolich
{"title":"Almost Everywhere Convergence Questions of Series of Translates of Non-Negative Functions","authors":"Z. Buczolich","doi":"10.14321/realanalexch.48.1.1663223339","DOIUrl":"https://doi.org/10.14321/realanalexch.48.1.1663223339","url":null,"abstract":"This survey paper is based on a talk given at the 44th Summer Symposium in Real Analysis in Paris. This line of research was initiated by a question of Haight and Weizs\"aker concerning almost everywhere convergence properties of series of the form $sum_{n=1}^{{infty}}f(nx)$. A more general, additive version of this problem is the following: Suppose $Lambda$ is a discrete infinite set of nonnegative real numbers. We say that $ {Lambda}$ is of type 1 if the series $s(x)=sum_{lambdainLambda}f(x+lambda)$ satisfies a zero-one law. This means that for any non-negative measurable $f: {{mathbb R}}to [0,+ {infty})$ either the convergence set $C(f, {Lambda})={x: s(x)<+ {infty} }= {{mathbb R}}$ modulo sets of Lebesgue zero, or its complement the divergence set $D(f, {Lambda})={x: s(x)=+ {infty} }= {{mathbb R}}$ modulo sets of measure zero. If $ {Lambda}$ is not of type 1 we say that $ {Lambda}$ is of type 2. The exact characterization of type $1$ and type $2$ sets is still not known. The part of the paper discussing results concerning this question is based on several joint papers written at the beginning with J-P. Kahane and D. Mauldin, later with B. Hanson, B. Maga and G. V'ertesy. Apart from results from the above project we also cover historic background, other related results and open questions.","PeriodicalId":44674,"journal":{"name":"Real Analysis Exchange","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46870939","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
A Characterization of Attractors for Baire Functions on the Interval 区间上Baire函数吸引子的刻画
IF 0.2
Real Analysis Exchange Pub Date : 2022-06-01 DOI: 10.14321/realanalexch.47.1.1613920060
E. S. Coulam, T. H. Steele
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引用次数: 0
On Reflexivity and Point Spectrum 关于反身性和点谱
IF 0.2
Real Analysis Exchange Pub Date : 2022-06-01 DOI: 10.14321/realanalexch.47.1.1625080320
João Paulos
{"title":"On Reflexivity and Point Spectrum","authors":"João Paulos","doi":"10.14321/realanalexch.47.1.1625080320","DOIUrl":"https://doi.org/10.14321/realanalexch.47.1.1625080320","url":null,"abstract":"","PeriodicalId":44674,"journal":{"name":"Real Analysis Exchange","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43385773","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
Generalized Convexity and Passage from Local to Global via Differential Inequalities 广义凸性及微分不等式从局部到全局的过渡
IF 0.2
Real Analysis Exchange Pub Date : 2022-06-01 DOI: 10.14321/realanalexch.47.1.1602263520
S. Koçak, M. Limoncu
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引用次数: 0
Descriptive set theory, from Cantor to Wadge and beyond 描述集合论,从Cantor到Wadge及其后
IF 0.2
Real Analysis Exchange Pub Date : 2022-06-01 DOI: 10.14321/realanalexch.47.1.1593058128
R. Camerlo
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引用次数: 0
Some Set Theoretic Operators Preserving Ideal Hausdorff Convergence 若干保持理想Hausdorff收敛的集合算子
IF 0.2
Real Analysis Exchange Pub Date : 2022-06-01 DOI: 10.14321/realanalexch.47.1.1618849755
Hüseyin Albayrak, Ö. Ölmez, S. Aytar
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引用次数: 1
Second Order Differentiability and related topics in the Takagi Class 高木课的二阶可微性及相关主题
IF 0.2
Real Analysis Exchange Pub Date : 2022-06-01 DOI: 10.14321/realanalexch.47.1.1628458590
J. Ferrera, J. Gómez Gil, J. Llorente
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引用次数: 1
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